Description 
1 online resource (244 pages) 
Series 
De Gruyter Series in Mathematics and Life Sciences 

De Gruyter series in mathematics and life sciences.

Contents 
Preface; Permanence, global attraction and stability; 1 Introduction; 2 Existence of a compact uniform attractor; 3 Proof of Theorems 2.1, 2.2 and 2.3; 4 Partial permanence and permanence; 5 Necessary conditions for permanence of LotkaVolterra systems; 6 Sufficient condition for permanence of LotkaVolterra systems; 7 Further notes; 8 Global attraction and stability of LotkaVolterra systems; 9 Global stability by Lyapunov functions; 10 Global stability by split Lyapunov functions; 10.1 Checking the conditions (10.2) and (10.8); 10.2 Examples 

11 Global stability of competitive LotkaVolterra systems12 Global attraction of competitive LotkaVolterra systems; 13 Some notes; Bibliography; Competitive LotkaVolterra systems with periodic coefficients; 1 Introduction; 2 The autonomous model. The logistic equation; 3 Two species periodic models; 4 Competitive exclusion; 5 One species extinction in threedimensional models; 6 The impulsive logistic equation; 7 Two species systems with impulsive effects. A look at the Ndimensional case; 8 The influence of impulsive perturbations on extinction in threespecies models; Bibliography 

Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics1 Introduction; 2 Notation; 3 Search of fixed points for maps expansive along one direction; 4 The planar case; 4.1 Stretching along the paths and variants; 4.2 The Crossing Lemma; 5 The Ndimensional setting: Intersection Lemma; 5.1 Zerosets of maps depending on parameters; 5.2 Stretching along the paths in the Ndimensional case; 6 Chaotic dynamics for continuous maps; 7 Definitions and main results; 8 Symbolic dynamics; 9 On various notions of chaos; 10 Linked twist maps 

11 Examples from the ODEs12 Predatorprey model; 12.1 The effects of a periodic harvesting; 12.2 Technical details and proofs; Bibliography; Index 
Summary 
This book facilitates research in the general area of population dynamics by presenting some of the recent developments involving theories, methods and application in this important area of research. The underlying common feature of the studies included in the book is that they are related, either directly or indirectly, to the wellknown LotkaVolterra systems which offer a variety of mathematical concepts from both theoretical and application points of view 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
LotkaVolterra equations.


Population biology  Mathematical models


NATURE  Ecology.


NATURE  Ecosystems & Habitats  Wilderness.


SCIENCE  Environmental Science.


SCIENCE  Life Sciences  Ecology.


LotkaVolterra equations.


Population biology  Mathematical models.


Kolmogorovsche Differentialgleichungen


VolterraGleichungen


Populationsdynamik

Form 
Electronic book

Author 
Lisena, Benedetta


Pireddu, Marina


Zanolin, Fabio


Ahmad, Shair.


Stamova, Ivanka.

LC no. 
2012051182 
ISBN 
9783110269840 

3110269848 

3110269511 

9783110269512 
