Permanence and Extinction of Non-autonomous Lotka-volterra Facultative Systems with Jump-diffusion

Abstract

Using stochastic differential equations with Lévy jumps, this paper studies the effect of environmental stochasticity and random catastrophes on the permanence of Lotka-Volterra facultative systems. Under certain simple assumptions, we establish the sufficient conditions for weak permanence in the mean and extinction of the non-autonomous system… (More)

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