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- W2550582173 abstract "Using stochastic differential equations with Lévy jumps,this paper studies the effect of environmental stochasticity andrandom catastrophes on the permanenceof Lotka-Volterra facultative systems.Under certain simple assumptions, we establish the sufficient conditionsfor weak permanence in the meanand extinction of the non-autonomous system, respectively.In particular,a necessary and sufficient condition for permanenceand extinction of autonomous system with jump-diffusion are obtained.We generalize some former results under weaker assumptions.Finally, we discuss the biological implications of the mainresults." @default.
- W2550582173 created "2016-11-30" @default.
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- W2550582173 date "2015-01-01" @default.
- W2550582173 modified "2023-10-16" @default.
- W2550582173 title "Permanence and extinction of non-autonomous Lotka-Volterra facultative systems with jump-diffusion" @default.
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- W2550582173 doi "https://doi.org/10.3934/dcdsb.2015.20.2069" @default.
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