Articles liés à Systems of Nonlinear Differential Equations and Ecology:...

Systems of Nonlinear Differential Equations and Ecology: Basics, Concepts, Methods - Couverture souple

Rahmani Doust, Mohammad Hossein

 
9783639519891: Systems of Nonlinear Differential Equations and Ecology: Basics, Concepts, Methods
Couverture souple
ISBN 10 : 3639519892 ISBN 13 : 9783639519891
Editeur : Scholars' Press, 2013

Synopsis

The study of systems of nonlinear differential equations will be very useful to analyze the possible past or future outcomes with the help of present information in any natural dynamical systems. The present book studies some autonomous nonlinear systems of ordinary differential equations. It focuses on their applications to population dynamics problems in mathematical ecology. In particular, the following aspects are the main objectives of the present work: I) The stability of the equilibrium points. II) The behavior of solution around equilibrium points. The first chapter presents some standard basic concepts, definitions, notations, theorems and methods. The second chapter is devoted to the study of Kolmogrov models of population dynamics; Rosenweig-Mac Artur model; including competition and coexistence factors for mutual benefit of two species. The third and fourth chapters analyze the extended Lotka-Volterra predator-prey models including intraspecies factors. The behavior of solution around these equilibrium points are studied in detail.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The study of systems of nonlinear differential equations will be very useful to analyze the possible past or future outcomes with the help of present information in any natural dynamical systems. The present book studies some autonomous nonlinear systems of ordinary differential equations. It focuses on their applications to population dynamics problems in mathematical ecology. In particular, the following aspects are the main objectives of the present work: I) The stability of the equilibrium points. II) The behavior of solution around equilibrium points. The first chapter presents some standard basic concepts, definitions, notations, theorems and methods. The second chapter is devoted to the study of Kolmogrov models of population dynamics; Rosenweig-Mac Artur model; including competition and coexistence factors for mutual benefit of two species. The third and fourth chapters analyze the extended Lotka-Volterra predator-prey models including intraspecies factors. The behavior of solution around these equilibrium points are studied in detail.

Biographie de l'auteur

M.H. Rahmani Doust; M.Sc. Thesis: Global Analysis of System of Predator-Prey Equations, 1997 (Tehran, Iran); Ph.D. Dissertation: A Study on Systems of Nonlinear Differential Equations and Applications, 2008 (Mysore, India); Mail Address: Department of Mathematics, Neyshabur University, Neyshabur, Iran.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2013
Langue
anglais
ISBN 10 
3639519892
ISBN 13 
9783639519891
Reliure
Broché
Nombre de pages
124
Coordonnées du fabricant
non disponible
Personne responsable
non disponible