Author : Bapan Ghosh
Publisher : Frontiers Media SA
ISBN 13 : 2832540147
Total Pages : 151 pages
Book Rating : 4.8/5 (325 download)
Book Synopsis Justified Modeling Frameworks and Novel Interpretations of Ecological and Epidemiological Systems by : Bapan Ghosh
Download or read book Justified Modeling Frameworks and Novel Interpretations of Ecological and Epidemiological Systems written by Bapan Ghosh and published by Frontiers Media SA. This book was released on 2024-01-12 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lotka-Volterra and the Kermack-McKendrick models are well celebrated and widely recognized in the field of ecology and epidemiology. Several modified ordinary differential equation models have been proposed over the last many decades to rationalize complex biological phenomena. In the current century, researchers have paid much attention to developing new modeling frameworks with delay differential equations, difference equations, fractional order systems, stochastic differential equations, etc. No doubt, these models have emerged many new bifurcations theory and methods which have equally contributed to the advances of Mathematics and interdisciplinary research. It is argued that these new modeling frameworks perform more effectively in analyzing and interpreting results compared to the conventional modeling frameworks with ordinary differential equations. However, implications of emerged bifurcations from new modeling approaches are often less interpreted from a biological viewpoint. Even, there is also a lack of understanding of how a fractional order model, for instance, displays a more realistic scenario to analyze a biological process. Therefore, a more serious justification is essential while modeling any biological event.