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Mathematics - Dynamical Systems & Differential Equations | Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Padhi, Seshadev, Graef, John R., Srinivasu, P. D. N.

2014, XIV, 144 p. 8 illus.

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  • 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 can be applied to study the existence of two or three positive periodic solutions of functional differential equations
  • Discusses sufficient conditions for dynamics equations that include nonlinear characteristics exhibited by population models

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.

Content Level » Research

Keywords » Existence of solutions - Fixed-point theorem - Functional differential equations - Global attractivity - Ordinary differential equations - Periodic solutions of functional differential euqations

Related subjects » Analysis - Dynamical Systems & Differential Equations

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