Title of article
Stochastically asymptotically stability of the multi-group SEIR and SIR models with random perturbation
Author/Authors
Yuan، نويسنده , , Chengjun and Jiang، نويسنده , , Daqing and O’Regan، نويسنده , , Donal and Agarwal، نويسنده , , Ravi P.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
16
From page
2501
To page
2516
Abstract
In this paper, we discuss the multi-group SEIR and SIR model with random perturbation, allowing random fluctuation around the endemic equilibrium of deterministic SEIR and SIR models. We prove that the endemic equilibriums of the two models are both stochastic asymptotically stable. In addition, the stability condition is obtained by the construction of the Lyapunov function and graph theory. Finally, numerical simulations are presented to illustrate our mathematical findings.
Keywords
Stochastic multi-group SEIR and SIR model , Brownian motion , Itô’s formula , Stochastic asymptotically stable , lyapunov function , Kirchhoff’s Matrix-Tree Theorem
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2012
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1537028
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