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Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
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This book provides some up-to-date results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates the application of the Leggett-Williams fixed-point theorem to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly related 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 attractivity of solutions of 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 may be treated as a reference for students and researchers wishing to work in the field of differential equations with applications to biology, ecology and the environment.
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