Dynamics Analysis of a Stochastic SIR Epidemic Model
Copyright policy )Dynamics Analysis of a Stochastic SIR Epidemic Model
We investigate an SIR epidemic model with stochastic perturbations. We assume that stochastic perturbations are of a white noise type which is directly proportional to the distances of three variables from the steady-state values, respectively. By constructing suitable Lyapunov functions and applying Itô’s formula, some qualitative properties are obtained, such as the existence of global positive solutions, stochastic boundedness, and permanence. A series of numerical simulations to illustrate these mathematical findings are presented.
- Nanjing University of Science and Technology China (People's Republic of)
Epidemiology, stochastic perturbations, QA1-939, SIR epidemic model, Mathematics, Stochastic ordinary differential equations (aspects of stochastic analysis)
Epidemiology, stochastic perturbations, QA1-939, SIR epidemic model, Mathematics, Stochastic ordinary differential equations (aspects of stochastic analysis)
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