Impulsive Differential Equations With Applications To Infectious Diseases

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Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : MDPI
ISBN 13 : 3039368826
Total Pages : 220 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by MDPI. This book was released on 2021-01-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Mathematical Analysis and Applications in Modeling

Author : Priti Kumar Roy
Publisher : Springer Nature
ISBN 13 : 9811504229
Total Pages : 518 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Analysis and Applications in Modeling by : Priti Kumar Roy

Download or read book Mathematical Analysis and Applications in Modeling written by Priti Kumar Roy and published by Springer Nature. This book was released on 2020-03-10 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications.

Differential and Difference Equations with Applications

Author : Sandra Pinelas
Publisher : Springer
ISBN 13 : 3319328573
Total Pages : 444 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Differential and Difference Equations with Applications by : Sandra Pinelas

Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer. This book was released on 2016-09-02 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.

Bifurcation Theory of Impulsive Dynamical Systems

Author : Kevin E.M. Church
Publisher : Springer Nature
ISBN 13 : 3030645339
Total Pages : 388 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Bifurcation Theory of Impulsive Dynamical Systems by : Kevin E.M. Church

Download or read book Bifurcation Theory of Impulsive Dynamical Systems written by Kevin E.M. Church and published by Springer Nature. This book was released on 2021-03-24 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations. Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state.

Functional Differential Equations and Applications

Author : Alexander Domoshnitsky
Publisher : Springer Nature
ISBN 13 : 9811662975
Total Pages : 265 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Functional Differential Equations and Applications by : Alexander Domoshnitsky

Download or read book Functional Differential Equations and Applications written by Alexander Domoshnitsky and published by Springer Nature. This book was released on 2022-02-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations. This book is a collection of selected papers presented at the international conference of Functional Differential Equations and Applications (FDEA-2019), 7th in the series, held at Ariel University, Israel, from August 22–27, 2019. Topics covered in the book include classical properties of functional differential equations as oscillation/non-oscillation, representation of solutions, sign properties of Green's matrices, comparison of solutions, stability, control, analysis of boundary value problems, and applications. The primary audience for this book includes specialists on ordinary, partial and functional differential equations, engineers and doctors dealing with modeling, and researchers in areas of mathematics and engineering.

Information Computing and Applications

Author : Chunfeng Liu
Publisher : Springer
ISBN 13 : 3642340415
Total Pages : 873 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Information Computing and Applications by : Chunfeng Liu

Download or read book Information Computing and Applications written by Chunfeng Liu and published by Springer. This book was released on 2012-09-07 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set of CCIS 307 and CCIS 308 constitutes the refereed proceedings of the Third International Conference on Information Computing and Applications, ICICA 2012, held in Chengde, China, in September 2012. The 330 revised full papers presented in both volumes were carefully reviewed and selected from 1089 submissions. The papers are organized in topical sections on internet computing and applications; multimedia networking and computing; intelligent computing and applications; computational statistics and applications; knowledge management and applications; communication technology and applications; information management system; control engineering and applications; business intelligence and applications; cloud and evolutionary computing; computational genomics and proteomics; engineering management and applications.

Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission

Author : Priti Kumar Roy
Publisher : Springer
ISBN 13 : 9812878521
Total Pages : 228 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission by : Priti Kumar Roy

Download or read book Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission written by Priti Kumar Roy and published by Springer. This book was released on 2015-12-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements.

Mathematical Analysis and its Applications

Author : P. N. Agrawal
Publisher : Springer
ISBN 13 : 813222485X
Total Pages : 752 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Mathematical Analysis and its Applications by : P. N. Agrawal

Download or read book Mathematical Analysis and its Applications written by P. N. Agrawal and published by Springer. This book was released on 2015-08-22 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including approximation theory, harmonic analysis, operator theory, fixed-point theory, functional differential equations, dynamical and control systems, complex analysis, special functions, function spaces, summability theory, Fourier and wavelet analysis, and numerical analysis – all of which are topics of great interest to the research community – while further papers highlight important applications of mathematical analysis in science, engineering and related areas. This conference aims at bringing together experts and young researchers in mathematics from all over the world to discuss the latest advances in mathematical analysis and at promoting the exchange of ideas in various applications of mathematics in engineering, physics and biology. This conference encourages international collaboration and provides young researchers an opportunity to learn about the current state of the research in their respective fields.

Advances in Communicable Disease Control Research and Application: 2012 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464995826
Total Pages : 439 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Advances in Communicable Disease Control Research and Application: 2012 Edition by :

Download or read book Advances in Communicable Disease Control Research and Application: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2012-12-26 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Communicable Disease Control Research and Application / 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Communicable Disease Control. The editors have built Advances in Communicable Disease Control Research and Application / 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Communicable Disease Control in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Advances in Communicable Disease Control Research and Application / 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Mathematical Modelling of Zombies

Author : Robert Smith?
Publisher : University of Ottawa Press
ISBN 13 : 077662167X
Total Pages : 356 pages
Book Rating : 4.7/5 (766 download)

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Book Synopsis Mathematical Modelling of Zombies by : Robert Smith?

Download or read book Mathematical Modelling of Zombies written by Robert Smith? and published by University of Ottawa Press. This book was released on 2014-10-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this terrible new COVID-19 world, the University of Ottawa is doing its part by offering a 50% discount on this very important book. We decided not to rewrite the witty book description, though we realize it is tone-deaf at the present moment, as we wanted to give readers a sense of the tone of this title. But don’t be deceived: while a fun read, this book will help you better understand how epidemiologists, governments and health care planners use mathematical models to figure out how quickly epidemics and pandemics spread, in order to plan appropriately. Reading has perhaps never been as important, and this book should be at the top of your reading list. You’re outnumbered, in fear for your life, surrounded by flesheating zombies. What can save you now? Mathematics, of course. Mathematical Modelling of Zombies engages the imagination to illustrate the power of mathematical modelling. Using zombies as a “hook,” you’ll learn how mathematics can predict the unpredictable. In order to be prepared for the apocalypse, you’ll need mathematical models, differential equations, statistical estimations, discretetime models, and adaptive strategies for zombie attacks—as well as baseball bats and Dire Straits records (latter two items not included). In Mathematical Modelling of Zombies, Robert Smith? brings together a highly skilled team of contributors to fend off a zombie uprising. You’ll also learn how modelling can advise government policy, how theoretical results can be communicated to a nonmathematical audience and how models can be formulated with only limited information. A forward by Andrew Cartmel—former script editor of Doctor Who, author, zombie fan and all-round famous person in science-fiction circles—even provides a genealogy of the undead. By understanding how to combat zombies, readers will be introduced to a wide variety of modelling techniques that are applicable to other real-world issues (biology, epidemiology, medicine, public health, etc.). So if the zombies turn up, reach for this book. The future of the human race may depend on it.

Dynamical Modeling and Analysis of Epidemics

Author : Zhien Ma
Publisher : World Scientific
ISBN 13 : 9812797505
Total Pages : 513 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Dynamical Modeling and Analysis of Epidemics by : Zhien Ma

Download or read book Dynamical Modeling and Analysis of Epidemics written by Zhien Ma and published by World Scientific. This book was released on 2009 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

Stability Analysis of Impulsive Functional Differential Equations

Author : Ivanka Stamova
Publisher : Walter de Gruyter
ISBN 13 : 3110221829
Total Pages : 241 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Stability Analysis of Impulsive Functional Differential Equations by : Ivanka Stamova

Download or read book Stability Analysis of Impulsive Functional Differential Equations written by Ivanka Stamova and published by Walter de Gruyter. This book was released on 2009-10-16 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.

Dynamics of Continuous, Discrete and Impulsive Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dynamics of Continuous, Discrete and Impulsive Systems by :

Download or read book Dynamics of Continuous, Discrete and Impulsive Systems written by and published by . This book was released on 2000 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Impulsive Differential Equations

Author : Dimit?r Ba?nov
Publisher : World Scientific
ISBN 13 : 9810218230
Total Pages : 246 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Impulsive Differential Equations by : Dimit?r Ba?nov

Download or read book Impulsive Differential Equations written by Dimit?r Ba?nov and published by World Scientific. This book was released on 1995 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.

Biomat 2008 - International Symposium On Mathematical And Computational Biology

Author : Rubem P Mondaini
Publisher : World Scientific
ISBN 13 : 9814468096
Total Pages : 408 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Biomat 2008 - International Symposium On Mathematical And Computational Biology by : Rubem P Mondaini

Download or read book Biomat 2008 - International Symposium On Mathematical And Computational Biology written by Rubem P Mondaini and published by World Scientific. This book was released on 2009-07-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains selected contributed papers from the BIOMAT 2008 Symposium and lectures delivered by keynote speakers during the plenary sessions. All chapters are centered on fundamental interdisciplinary areas of mathematical modeling of biosystems, like mathematical biology, biological physics, evolution biology and bioinformatics. It contains new results on the mathematical analysis of reaction-diffusion equations, demographic Allee effects and the dynamics of infection. Recent approaches to the modeling of biosystem structure, comprehensive reviews on icosahedral viral capsids and the classification of biological data via neural networks with prior knowledge, and a new perspective on a theoretical basis for bioinformatics are also discussed.This book contains original results on reaction-diffusion waves: the population dynamics of fishing resources and the effectiveness of marine protected areas; an approach to language evolution within a population dynamics framework; the analysis of bacterial genome evolution with Markov chains; the choice of defense strategies and the study of the arms-race phenomenon in a host-parasite system.

Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory

Author : Carlos Castillo-Chavez
Publisher : Springer Science & Business Media
ISBN 13 : 1461300657
Total Pages : 375 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory by : Carlos Castillo-Chavez

Download or read book Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Math ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BI OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Math ematical and Theoretical Biology Institute and a member of the Depart ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni versity) for providing an introduction.

Advances in Communicable Disease Control Research and Application: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464933359
Total Pages : 77 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Advances in Communicable Disease Control Research and Application: 2011 Edition by :

Download or read book Advances in Communicable Disease Control Research and Application: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Communicable Disease Control Research and Application: 2011 Edition is a ScholarlyBrief™ that delivers timely, authoritative, comprehensive, and specialized information about Communicable Disease Control in a concise format. The editors have built Advances in Communicable Disease Control Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Communicable Disease Control in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Advances in Communicable Disease Control Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.