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Titlebook: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics; Seshadev Padhi,John R. Graef,P. D. N. Srinivas

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书目名称Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
编辑Seshadev Padhi,John R. Graef,P. D. N. Srinivasu
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概述Introduces the existence of multiple positive periodic solutions to first-order functional differential equations with real-world applications.Demonstrates how the Leggett-Williams fixed-point theorem
图书封面Titlebook: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics;  Seshadev Padhi,John R. Graef,P. D. N. Srinivas
描述This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowflies model, and some models with Allee effects. Many interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the global appeal of solutions to the models considered in the earlier chapters. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students and researchers in the field of differential equations with applications to biology, ecology, and the environment.
出版日期Book 2014
关键词Existence of solutions; Fixed-point theorem; Functional differential equations; Global attractivity; Ord
版次1
doihttps://doi.org/10.1007/978-81-322-1895-1
isbn_softcover978-81-322-3542-2
isbn_ebook978-81-322-1895-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature India Pr
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