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Global stability of a nonlinear stochastic predator–prey system with Beddington–DeAngelis functional response

✍ Scribed by Meng Liu; Ke Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
276 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

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 preserve this nice property provided the noise is sufficiently small. Some simulation figures are introduced to support the analytical findings.

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