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On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. (English) Zbl 0987.92027
Summary: We extend the deterministic model for the epidemics induced by virulent phages on bacteria in marine environment introduced by E. Beretta and Y. Kuang [ibid. 149, No. 1, 57-76 (1998; Zbl 0946.92012)], allowing random fluctuations around the positive equilibrium. The stochastic stability properties of the model are investigated both analytically and numerically suggesting that the deterministic model is robust with respect to stochastic perturbations.

MSC:
92D30 Epidemiology
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60H35 Computational methods for stochastic equations (aspects of stochastic analysis)
92D40 Ecology
93E15 Stochastic stability in control theory
Citations:
Zbl 0946.92012
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References:
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