A Kind of Nonlinear SEIRS Epidemic Spread Mathematic Model
Journal Title: 河南科技大学学报（自然科学版） - Year 2017, Vol 38, Issue 2
Abstract
A susceptible-exposure-infected-recovery-susceptible( SEIRS) epidemic model with nonlinear saturated incidence rate was proposed. Local asymptotic property of the disease-free equilibrium and endemic equilibrium was studied by using Routh-Hurwitz criterion. Global asymptotic property of the disease-free equilibrium was researched by using Lyapunov-La Salle invariance principle. The persistence of the model was proved by using persistence theory and an assumption about the global asymptotic stability of the endemic equilibrium was obtained. Finally,some numerical simulations were given to verify the theoretical results and assumption.
Authors and Affiliations
Ting WANG, Hui WANG, Zhixing HU
Keywords
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