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Ji, Chunyan; Jiang, Daqing

Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response. (English) Zbl 1232.34072

J. Math. Anal. Appl. 381, No. 1, 441-453 (2011).
The authors study a stochastic density predator-prey system with Beddington-DeAngelis functional response. First, they prove uniqueness of the solution for the considered system (Theorem 2.1). Then, they investigate the asymptotic behavior of this system (Theorem 3.1). These results generalize some similar results given by R. Rudniki (2003), Rudniki and Pichor (2007) and T. Saha and M. Bandyopadhyay (2008). Some good simulations and numerical examples complete the paper.
Reviewer: Romeo Negrea (Timisoara)

Cited in 65 Documents

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34F05 Ordinary differential equations and systems with randomness
92D25 Population dynamics (general)
34D05 Asymptotic properties of solutions to ordinary differential equations

Keywords:

stochastic differential equations; density dependence; Beddington-DeAngelis functional response; stationary distribution; ergodicity; extinction
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\textit{C. Ji} and \textit{D. Jiang}, J. Math. Anal. Appl. 381, No. 1, 441--453 (2011; Zbl 1232.34072)
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References:

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