Abstract
In this paper, an n -patch SEIR epidemic model for the coronavirus disease 2019 (COVID-19) is presented. It is shown that there is unique disease-free equilibrium for this model. Then, the dynamic behavior is studied by the basic reproduction number. The transmission of COVID-19 is fitted based on actual data. The influence of quarantined rate and population migration rate on the spread of COVID-19 is also discussed by simulation.
Highlights
COVID-19 is one of the most serious viruses for human beings
It is rare to establish a generalized multipatch SEIR epidemic model to study the impact of population migration and quarantine on the basic reproduction number
Driessche and Salmani [27] gave an SEIRS model of p-patch and analyzed the stability of the disease-free equilibrium point. e effects of heterogeneity in groups, patches, and mobility patterns on the basic reproduction number R0 and disease prevalence were explored by Bichara et al [28]. e dynamics of an SIS epidemic patch model with the asymmetric connectivity matrix was analyzed by Chen et al [29], and it showed that the basic reproduction number R0 was strictly decreasing with respect to the dispersal rate of the infected individuals. erefore, it is necessary to study the epidemic model of multipatch
Summary
Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China. It is rare to establish a generalized multipatch SEIR epidemic model to study the impact of population migration and quarantine on the basic reproduction number. A twopatch SEIRS epidemic model was proposed by Liu et al [25] to study the impact of travel on the spatial spread of dog rabies between patches with different level of disease prevalence. In this paper, a generalized n-patch SEIR epidemic model is formulated to study the stability of the model and the effect of control strategies on the spread of the disease. Where βi, zi, qi, σi, δi, ci, and ηi represent the disease transmission coefficient, the self-quarantined rate of susceptible individuals, the quarantined rate of exposed individuals, the transition rate of exposed individuals to infected individuals, the transition rate of infected individuals to hospitalized individuals, the recovery rate of the infectious individuals q, μi μi θi
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