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Zbl 0987.92027
Carletti, M.
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. (English)
[J] Math. Biosci. 175, No.2, 117-131 (2002). ISSN 0025-5564

Summary: We extend the deterministic model for the epidemics induced by virulent phages on bacteria in marine environment introduced by {\it E. Beretta} and {\it 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 2000:: *92D30 Epidemiology
60H10 Stochastic ordinary differential equations
60H35 Computational methods for stochastic equations
92D40 Ecology
93E15 Stochastic stability

Keywords: bacteriophage infection

Citations: Zbl 0946.92012

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Zentralblatt MATH Berlin [Germany]