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Global asymptotic stability for a SEI reaction-diffusion model of infectious diseases with immigration
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作者 Salem Abdelmalek Samir Bendoukha 《International Journal of Biomathematics》 SCIE 2018年第3期289-305,共17页
This paper studies the local and global stability of solutions for a spatially spread SEI epidemic model with immigration of individuals using a Lyapunov functional. It is shown that in the presence of diffusion, the ... This paper studies the local and global stability of solutions for a spatially spread SEI epidemic model with immigration of individuals using a Lyapunov functional. It is shown that in the presence of diffusion, the unique steady state remains globally stable. Numerical results obtained through Matlab simulations are presented to confirm the findings of this study. 展开更多
关键词 sei epidemic model REACTION-DIFFUSION global asymptotic stability Lyapunov functional.
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ANALYSIS OF A SUSCEPTIBLE-EXPOSEDINFECTED EPIDEMIC MODEL WITH RANDOM PERTURBATION AND VARYING POPULATION SIZE
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作者 Lihong Chen Fengying Wei 《Annals of Applied Mathematics》 2017年第2期130-138,共9页
In this paper, we study a type of susceptible-exposed-infected(SEI) epidemic model with varying population size and introduce the random perturbation of the constant contact rate into the SEI epidemic model due to t... In this paper, we study a type of susceptible-exposed-infected(SEI) epidemic model with varying population size and introduce the random perturbation of the constant contact rate into the SEI epidemic model due to the universal existence of fluctuations. Under some moderate conditions, the density of the exposed and the infected individuals exponentially approaches zero almost surely are derived. Furthermore, the stochastic SEI epidemic model admits a stationary distribution around the endemic equilibrium, and the solution is ergodic. Some numerical simulations are carried out to demonstrate the efficiency of the main results. 展开更多
关键词 varying population size random perturbation sei epidemic model stationary distribution
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