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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.
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.
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