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Periodic solutions of first-order functional differential equations in population dynamics [[electronic resource] /] / by Seshadev Padhi, John R. Graef, P. D. N. Srinivasu



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Autore: Padhi Seshadev Visualizza persona
Titolo: Periodic solutions of first-order functional differential equations in population dynamics [[electronic resource] /] / by Seshadev Padhi, John R. Graef, P. D. N. Srinivasu Visualizza cluster
Pubblicazione: New Delhi : , : Springer India : , : Imprint : Springer, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (155 p.)
Disciplina: 515
515.35
515/.352
Soggetto topico: Differential equations
Mathematical analysis
Analysis (Mathematics)
Biomathematics
Integral equations
Ordinary Differential Equations
Analysis
Mathematical and Computational Biology
Integral Equations
Persona (resp. second.): GraefJohn R
SrinivasuP. D. N
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Chapter 1. Introduction -- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter λ -- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations -- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations -- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order -- Bibliography.
Sommario/riassunto: 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.
Titolo autorizzato: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics  Visualizza cluster
ISBN: 81-322-1895-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299964403321
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