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Asymptotically stable in the large 1 Disease-free equilibrium 1 Endemic equilibrium 1 Persistent in mean 1 Stochastic Lyapunov function 1 Stochastic multigroup SIR model 1
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Ji, Chunyan 1 Jiang, Daqing 1 Shi, Ningzhong 1
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Physica A: Statistical Mechanics and its Applications 1
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Multigroup SIR epidemic model with stochastic perturbation
Ji, Chunyan; Jiang, Daqing; Shi, Ningzhong - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 10, pp. 1747-1762
In this paper, we discuss a multigroup SIR model with stochastic perturbation. We deduce the globally asymptotic stability of the disease-free equilibrium when R0≤1, which means the disease will die out. On the other hand, when R01, we derive the disease will prevail, which is measured through...
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