PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY-Reference-Cited by-同舟云学术

PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY

Published:2006-10 Issue:10 Volume:16 Page:2915-2922
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

GÁMEZ MANUEL¹,MARTÍNEZ CLOTILDE²

Affiliation:

1. Department of Statistics and Applied Mathematics, University of Almería, La Cañada de San Urbano sn. 04120-Almería, Spain

2. Department of Applied Mathematics, University of Granada, Faculty of Economic and Business Sciences, 18071-Granada, Spain

Abstract

In this paper, several sufficient conditions are established for the persistence and extinction in a Lotka–Volterra system with time delay. Based on the use of Lyapunov functionals techniques, necessary and sufficient conditions are also given for global asymptotic stability of the positive equilibrium for autonomous systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127406016549

Reference23 articles.

1. On the nonautonomous Volterra-Lotka competition equations

2. On the nonautonomous N-competing species problems

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of meromorphic solutions of systems of partial differential–difference equations;Analysis and Mathematical Physics;2023-01-28

2. Dynamics of prey–predator model with stage structure in prey including maturation and gestation delays;Nonlinear Dynamics;2019-04-22

3. Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge;Communications in Nonlinear Science and Numerical Simulation;2019-02

4. RATIO-DEPENDENT PREDATOR–PREY MODEL WITH STAGE STRUCTURE AND TIME DELAY;International Journal of Biomathematics;2012-05-16