Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
✍ Scribed by Li, Shuang; Zhang, Xinan
- Book ID
- 120384515
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 595 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1839
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In this paper, a predator-prey system with Beddington-DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, the
Stochastically asymptotic stability in the large of a predator-prey system with Beddington-DeAngelis functional response with stochastic perturbation is considered. The result shows that if the positive equilibrium of the deterministic system is globally stable, then the stochastic model will preser