Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response (Q541270)
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scientific article; zbMATH DE number 5904482
| Language | Label | Description | Also known as |
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| English | Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response |
scientific article; zbMATH DE number 5904482 |
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Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response (English)
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6 June 2011
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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.
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stochastic differential equations
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density dependence
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Beddington-DeAngelis functional response
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stationary distribution
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ergodicity
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extinction
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