论文信息 - On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment.

On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment.

In this paper we extend the deterministic model for the epidemics induced by virulent phages on bacteria in marine environment introduced by Beretta and Kuang [Math. Biosci. 149 (1998) 57], 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.

M. Carletti | M Carletti

[1] Yang Kuang,et al. Modeling and analysis of a marine bacteriophage infection with latency period , 2001 .

[2] M. Carletti,et al. On the effects of environmental fluctuations in a simple model of bacteria bacteriophage interaction , 2000 .

[3] Wei-Min Liu,et al. Criterion of Hopf Bifurcations without Using Eigenvalues , 1994 .

[4] V. B. Kolmanovskii,et al. Stability of epidemic model with time delays influenced by stochastic perturbations 1 This paper was , 1998 .

[5] V. R. Nosov,et al. Mathematical theory of control systems design , 1996 .

[6] P. Kloeden,et al. Numerical Solution of Stochastic Differential Equations , 1992 .

[7] G. Bratbak,et al. High abundance of viruses found in aquatic environments , 1989, Nature.

[8] Werner Römisch,et al. Numerical Solution of Stochastic Differential Equations (Peter E. Kloeden and Eckhard Platen) , 1995, SIAM Rev..

[9] Y. Kuang,et al. Modeling and analysis of a marine bacteriophage infection. , 1998, Mathematical biosciences.

[10] I. I. Gikhman,et al. The Theory of Stochastic Processes III , 1979 .

[11] Jed A. Fuhrman,et al. Calibrating estimates of phage-induced mortality in marine bacteria: Ultrastructural studies of marine bacteriophage development from one-step growth experiments , 1993, Microbial Ecology.