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Stability analysis of a stochastic model for prey-predator system with disease in the prey. (English) Zbl 1042.92039
Summary: We consider a prey-predator system where the prey population is infected by a microparasite. Local as well as global stability properties of the interior equilibrium point are discussed. The stochastic stability properties of the model are investigated, suggesting that the deterministic model is robust with respect to stochastic perturbations.

MSC:
92D40 Ecology
93E15 Stochastic stability in control theory
34F05 Ordinary differential equations and systems with randomness
92D25 Population dynamics (general)
92D30 Epidemiology
34D23 Global stability of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60H30 Applications of stochastic analysis (to PDEs, etc.)
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