Permanence in logistic and Lotka-Volterra systems with dispersal and time delays

Date

2005-06-10

Authors

Cui, Jingan
Guo, Mingna

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we consider the effect of dispersal on the permanence of single and interacting populations modelled by systems of integro differential equations. Different from former studies, our discussion here includes the important situation when species live in a weak patchy environment; i.e., species in some isolated patches will become extinct without the contribution from other patches. For the single population model considered in this paper, we show that the same species can persist for some dispersal rates and the species will vanish in some isolated patches. Based on the results for a single population model, we derive sufficient conditions for the permanence of two interacting competitive and predator-prey dispersing systems.

Description

Keywords

Logistic equation, Lotka-Volterra system, Dispersal, Permanence, Extinction, Time delay

Citation

Cui, J., & Guo, M. (2005). Permanence in logistic and Lotka-Volterra systems with dispersal and time delays. <i>Electronic Journal of Differential Equations, 2005</i>(60), pp. 1-11.

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Attribution 4.0 International

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