Dynamic analysis of a multi-patch epidemic model with saturated incidence rate
A SVEIQR epidemic model with saturated incidence in a patch environment that incorpo-rates vaccination and quarantine strategies is proposed.Firstly,the matrix representation of the basic re-production number R0 through the construction of the reproduction matrix is obtained.Next,we apply the Lyapunov function method to demonstrate that the global asymptotic stability of the disease-free equilibri-um.Finally,we validate our theoretical results through numerical simulations and carry out sensitivity a-nalysis of R0.Our findings demonstrate that increasing the vaccination rate and quarantine rate can reduce the basic reproduction number;the increase of population migration from high-risk areas to low-risk areas can increase the value of the basic reproduction number.Therefore,after the outbreak of the disease,it is necessary to strictly control the outward flow of population in high-risk areas,and timely vaccination and quarantine strategies should be implemented.
国家科技期刊平台
NSTL
万方数据
维普
