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

被引：111

作者：

Carletti, M ^{[1
]}

机构：

[1] Univ Urbino, Inst Biomath, I-61029 Urbino, Italy

来源：

MATHEMATICAL BIOSCIENCES | 2002年 / 175卷 / 02期

关键词：

bacteriophage infection; stochastic differential equations (SDEs); computational methods for SDEs; stochastic stability;

D O I：

10.1016/S0025-5564(01)00089-X

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：117 / 131

页数：15

共 16 条

[1] Afanas~ev V.N., 1996, MATH THEORY CONTROL
[2] Modeling and analysis of a marine bacteriophage infection with latency period
Beretta, E
Kuang, Y
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2001, 2 (01) : 35 - 74
[3] Modeling and analysis of a marine bacteriophage infection
Beretta, E
Kuang, Y
[J]. MATHEMATICAL BIOSCIENCES, 1998, 149 (01) : 57 - 76
[4] Stability of epidemic model with time delays influenced by stochastic perturbations
Beretta, E
Kolmanovskii, V
Shaikhet, L
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 45 (3-4) : 269 - 277
[5] BERETTA E, IN PRESS CAN APPL MA
[6] HIGH ABUNDANCE OF VIRUSES FOUND IN AQUATIC ENVIRONMENTS
BERGH, O
BORSHEIM, KY
BRATBAK, G
HELDAL, M
[J]. NATURE, 1989, 340 (6233) : 467 - 468
[7] Burrage P.M., 1999, Runge-Kutta Methods for Stochastic Differential Equations
[8] Gikhaman I.I., 1979, THEORY STOCHASTIC PR, pIII
[9] GIKHMAN II, 1975, THEORY STOCHASTIC PR, pR2
[10] GIKHMAN II, 1974, THEORY STOCHASTIC PR, pR1

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