Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

Jingliang Lv (), Ke Wang and Dongdong Chen
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Jingliang Lv: Harbin Institute of Technology (Weihai)
Ke Wang: Harbin Institute of Technology (Weihai)
Dongdong Chen: Harbin Institute of Technology (Weihai)

Methodology and Computing in Applied Probability, 2015, vol. 17, issue 2, 403-418

Abstract: Abstract A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.

Keywords: Predator-prey; Stochastically ultimately boundedness; Comparison theorem; Persistence in mean; 60H10; 91B70 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-013-9383-2

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