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Mathematical Models Of Plant Herbivore Interactions
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Book Synopsis Mathematical Models of Plant-Herbivore Interactions by : Zhilan Feng
Download or read book Mathematical Models of Plant-Herbivore Interactions written by Zhilan Feng and published by CRC Press. This book was released on 2017-09-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology.
Book Synopsis Mathematical Models of Plant-herbivore Interactions by : Zhilan Feng
Download or read book Mathematical Models of Plant-herbivore Interactions written by Zhilan Feng and published by . This book was released on 2017 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology."--Provided by publisher.
Book Synopsis Mathematical Models of Plant-Herbivore Interactions by : Zhilan Feng
Download or read book Mathematical Models of Plant-Herbivore Interactions written by Zhilan Feng and published by CRC Press. This book was released on 2017-09-07 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology.
Book Synopsis Mathematical Modeling for Contrasting Dynamics of a Plant Herbivore Interaction by : Sultanah Hadi Masmali
Download or read book Mathematical Modeling for Contrasting Dynamics of a Plant Herbivore Interaction written by Sultanah Hadi Masmali and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nicholas-Bailey model was designed to study population dynamics of host-parasite systems. The model was first developed by Nicholson and Bailey (1935) and applied to parasites (Encarsia Formosa) and hosts (Trialeurodes vaporariorum). These types of models are presented by discrete-time equations for biological systems that involve two species, e.g. a parasite population and its hosts. In this dissertation, we develop and then investigate a revised version of Nicholson-Bailey's discrete host-parasite model. Additionally, we incorporate and analyze the Allee effect dynamics in this newly constructed model. In Chapter one of this dissertation, we outline some background and literature. Second, we provide basic definitions of ordinary differential equations. We define several core concepts of dynamical systems including stability and instability analysis, manifold analysis, stable and unstable manifold, invariant manifold, center manifold, bifurcation, and the Lambert W function. Then we provide some known results and theorems that are useful in this research investigation. Third, we study the dynamics behavior of the newly developed system of a host-parasite model with four positive parameters in the first closed quadrant. A re-scaling procedure will be then applied to reduce the model to a two-parameter model that reproduces the entire dynamics of the original model. The model always possesses two boundary steady states and a third interior steady state may exist for particular conditions imposed on the parameters. Moreover, by applying the linearized stability function, we find thresholds for which the system is stable or unstable. We then study locally the long-term stability of steady states and center manifold theory based on the separating boundary curves for non-hyperbolic steady states, that is analyzing steady states when crossing from stable to unstable regions. We then analyze the stability for one or two parameter bifurcation (co-dimension one or two) depending on a different range of parameters, by considering the linearization of the model about each of the steady states. We show a period-doubling bifurcation occurs once the eigenvalue crosses these thresholds, leading to chaos. Numerical simulations support the results and conclusions. Fourth, we introduce the density dependence of the Allee effect and population dynamics into the model by adding a parameter to the modified system of the Nicholson-Bailey model. We then study the local stability of its steady states. Multiple bifurcation analyses of the system, including the period-doubling behavior and Neimark-Sacker bifurcation, will be analyzed. We then identify regions where the Allee effect system ultimately leads to chaos. Finally, the modified systems of the Nicholson-Bailey model and the Allee effect model are compared by analyzing different short-term and long-term dynamical behaviors and results acquired from the two systems.
Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet
Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
Book Synopsis An Introduction to Mathematical Models in Ecology and Evolution by : Mike Gillman
Download or read book An Introduction to Mathematical Models in Ecology and Evolution written by Mike Gillman and published by John Wiley & Sons. This book was released on 2009-07-07 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students often find it difficult to grasp fundamental ecological and evolutionary concepts because of their inherently mathematical nature. Likewise, the application of ecological and evolutionary theory often requires a high degree of mathematical competence. This book is a first step to addressing these difficulties, providing a broad introduction to the key methods and underlying concepts of mathematical models in ecology and evolution. The book is intended to serve the needs of undergraduate and postgraduate ecology and evolution students who need to access the mathematical and statistical modelling literature essential to their subjects. The book assumes minimal mathematics and statistics knowledge whilst covering a wide variety of methods, many of which are at the fore-front of ecological and evolutionary research. The book also highlights the applications of modelling to practical problems such as sustainable harvesting and biological control. Key features: Written clearly and succinctly, requiring minimal in-depth knowledge of mathematics Introduces students to the use of computer models in both fields of ecology and evolutionary biology Market - senior undergraduate students and beginning postgraduates in ecology and evolutionary biology
Book Synopsis An Introduction to Mathematical Models in Ecology and Evolution by : Mike Gillman
Download or read book An Introduction to Mathematical Models in Ecology and Evolution written by Mike Gillman and published by John Wiley & Sons. This book was released on 2009-04-08 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students often find it difficult to grasp fundamental ecologicaland evolutionary concepts because of their inherently mathematicalnature. Likewise, the application of ecological and evolutionarytheory often requires a high degree of mathematical competence. This book is a first step to addressing these difficulties,providing a broad introduction to the key methods and underlyingconcepts of mathematical models in ecology and evolution. The bookis intended to serve the needs of undergraduate and postgraduateecology and evolution students who need to access the mathematicaland statistical modelling literature essential to theirsubjects. The book assumes minimal mathematics and statistics knowledgewhilst covering a wide variety of methods, many of which are at thefore-front of ecological and evolutionary research. The book alsohighlights the applications of modelling to practical problems suchas sustainable harvesting and biological control. Key features: Written clearly and succinctly, requiring minimal in-depthknowledge of mathematics Introduces students to the use of computer models in bothfields of ecology and evolutionary biology Market - senior undergraduate students and beginningpostgraduates in ecology and evolutionary biology
Book Synopsis Mathematical Modelling in Plant Biology by : Richard J. Morris
Download or read book Mathematical Modelling in Plant Biology written by Richard J. Morris and published by Springer. This book was released on 2018-11-05 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in plant biology relies on the quantification, analysis and mathematical modeling of data over different time and length scales. This book describes common mathematical and computational approaches as well as some carefully chosen case studies that demonstrate the use of these techniques to solve problems at the forefront of plant biology. Each chapter is written by an expert in field with the goal of conveying concepts whilst at the same time providing sufficient background and links to available software for readers to rapidly build their own models and run their own simulations. This book is aimed at postgraduate students and researchers working the field of plant systems biology and synthetic biology, but will also be a useful reference for anyone wanting to get into quantitative plant biology.
Book Synopsis Models for Plant-herbivore Systems by : Leah Edelstein-Keshet
Download or read book Models for Plant-herbivore Systems written by Leah Edelstein-Keshet and published by . This book was released on 1983 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Evolutionary Ecology of Plant-Herbivore Interaction by : Juan Núñez-Farfán
Download or read book Evolutionary Ecology of Plant-Herbivore Interaction written by Juan Núñez-Farfán and published by Springer Nature. This book was released on 2020-07-30 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plant-herbivore interactions are a central topic in evolutionary ecology. Historically, their study has been a cornerstone for coevolutionary theory. Starting from classic ecological studies at the phenotypic level, it has since expanded to molecular and genomic approaches. After a historical perspective, the book’s subsequent chapters cover a wide range of topics: from populations to ecosystems; plant- and herbivore-focused studies; in natural and in man-modified ecosystems; and both micro- and macro-evolutionary levels. All chapters include valuable background information and empirical evidence. Given its scope, the book will be of interest to both students and researchers, and will hopefully stimulate further research in this exciting field of evolutionary biology.
Book Synopsis Mathematical Ecology of Plant Species Competition by : Anthony G. Pakes
Download or read book Mathematical Ecology of Plant Species Competition written by Anthony G. Pakes and published by Cambridge University Press. This book was released on 1990 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in this document is a class of deterministic models describing the dynamics of two plant species whose characteristics are common to the majority of annual plants that have a seedbank. Formulated in terms of elementary dynamical systems, these models were developed in response to four major questions on the long-term outcomes of binary mixtures of plant species: Is ultimate coexistence possible? If not, which strain will win? Does the mixture approach an equilibrium? If so, how long does the mixture take to attain it? The book gives a detailed account of model construction, analysis and application to field data obtained from long-term trials. In the particular case study modelled, the species involved are two pastural strains whose dynamics have critical agricultural and economic implications for the areas in which they are found, including North America, the Mediterranean region and Australia. This study will be valuable to researchers and students in mathematical biology and to agronomists and botanists interested in population dynamics.
Book Synopsis Adaptive Herbivore Ecology by : R. Norman Owen-Smith
Download or read book Adaptive Herbivore Ecology written by R. Norman Owen-Smith and published by Cambridge University Press. This book was released on 2002-06-27 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique monograph describing plant-herbivore interactions in the context of large African herbivorous mammals.
Book Synopsis Molecular Biology of Ecology by : M. Prakash
Download or read book Molecular Biology of Ecology written by M. Prakash and published by Discovery Publishing House. This book was released on 2008 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plant-herbivore Interactions in Atriplex by : Andrés F. Cibils
Download or read book Plant-herbivore Interactions in Atriplex written by Andrés F. Cibils and published by . This book was released on 1998 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Issues in Applied Mathematics: 2013 Edition by :
Download or read book Issues in Applied Mathematics: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Applied Mathematics / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Physics. The editors have built Issues in Applied Mathematics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Physics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Mathematics: 2013 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/.
Book Synopsis Introductory Ecology by : Peter Cotgreave
Download or read book Introductory Ecology written by Peter Cotgreave and published by John Wiley & Sons. This book was released on 2009-04-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this age of increasing human domination of the Earth's biological and physical resources, a basic understanding of ecology is more important than ever. Students need a textbook that introduces them to the basic principles of ecological science, one that is relevant to today's world, and one that does not overwhelm them with detail and jargon. Peter Cotgreave and Irwin Forseth have designed this book to meet the needs of these students, by providing a basic synthesis of how individual organisms interact with their physical environment, and with each other, to generate the complex ecosystems we see around us. The unifying theme of the book is biodiversity-its patterns, causes, and the growing worldwide threats to it. Basic ecological principles are illustrated using clearly described examples from the current ecological literature. This approach makes the book valuable to all students studying ecology. Examples have been chosen carefully to represent as wide a range of ecosystems (terrestrial and aquatic, northern and southern hemisphere) and life forms (animal, plant and microbe) as possible. Particular attention is paid to consequences of global change on organisms, populations, ecological communities and ecosystems. The end result is a text that presents a readable and persuasive picture of how the Earth's natural systems function, and how that functioning may change over the coming century. Features include: · strong coverage of applied and evolutionary ecology · applications of ecology to the real world · a question-orientated approach · the only comprehensive treatment of ecology written for the introductory student · an emphasis on definitions of key words and phrases · an integration of experimental, observational and theoretical material · examples drawn from all over the world and a wide variety of organisms · a logical structure, building from the response of individual organisms to physical factors, through population growth and population interactions, to community structure and ecosystem function · suggested further reading lists for each chapter · boxes to explain key concepts in more depth · dedicated textsite featuring additional information and teaching aids www.blackwellpublishing.com/cotgreave Peter Cotgreave is an animal ecologist who has worked for the University of Oxford and the Zoological Society of London. His research interests centre on abundance and rarity within animal communities. Irwin Forseth is a plant physiological ecologist who has taught introductory ecology and plant ecology at the University of Maryland since 1982. His research focuses on plant responses to the environment. The authors have studied organisms as diverse as green plants, insects and mammals in habitats from deserts to tropical rainforests. They have worked in ecological research and education in Africa, Asia, North and South America, Europe and the Caribbean.
Book Synopsis Mathematical Essays on Growth and the Emergence of Form by : Peter L. Antonelli
Download or read book Mathematical Essays on Growth and the Emergence of Form written by Peter L. Antonelli and published by University of Alberta. This book was released on 1985 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of interest to theoretical biologists, as well as mathematicians, physical scientists or anyone concerned with problems in growth, chemical ecology and the developmental biology of form, these essays on biological modelling by American, British and Canadian researchers provide an interesting geometric excursion to the frontiers of contemporary mathematical biology.
