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Zbl 1232.34072
Ji, Chunyan; Jiang, Daqing
Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response. (English)
[J] J. Math. Anal. Appl. 381, No. 1, 441-453 (2011). ISSN 0022-247X

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.
[Romeo Negrea (Timisoara)]

MSC 2000:: *34C60 Applications of qualitative theory of ODE
34F05 ODE with randomness
92D25 Population dynamics
34D05 Asymptotic stability of ODE

Keywords: stochastic differential equations; density dependence; Beddington-DeAngelis functional response; stationary distribution; ergodicity; extinction

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