2011Shuxue de shijian yu renshiRequires access

Persistence and Extonction of a Two-Dimensional Predator Model in a Small Capacity and Polluted Environment

Huizhen Yan

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Abstract

Using the limit theory and the methods of integral in the mean,this paper studied persistence or extinction of a two-dimensional Lotka-Volterra predator-prey model in a small capacity and polluted environment.Some sufficient conditions on weak persistence in the mean or extinction of populations are obtained.

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Using the limit theory and the methods of integral in the mean,this paper studied persistence or extinction of a two-dimensional Lotka-Volterra predator-prey model in a small capacity and polluted environment.Some sufficient conditions on weak persistence in the mean or extinction of populations are obtained.

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Available abstract

Using the limit theory and the methods of integral in the mean,this paper studied persistence or extinction of a two-dimensional Lotka-Volterra predator-prey model in a small capacity and polluted environment.Some sufficient conditions on weak persistence in the mean or extinction of populations are obtained.

Key concepts: Persistence (discontinuity), Extinction (optical mineralogy), Limit (mathematics), Predator, Predation, Mathematics, Carrying capacity, Ecology

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