具有隔离和不完全治疗的传染病模型的全局稳定性

Abstract

Abstract:

An epidemic model with quarantine and incomplete treatment is constructed. The model allows for the susceptibles to the unconscious and conscious susceptible compartment. We establish that the global dynamics are completely detremined by the basic reproduction number $R_{0}$. If $R_{0}≤1$, then the disease free equilibrium is globally asymptotically stable. If $R_{0}>1$, the endemic equilibrium is globally asymptotically stable. Some numerical simulations are also carried out to confirm the analytical results.

Key words: Epidemic model, Basic reproduction number, Global stability, Lyapunov functional

CLC Number:

O175.1

Lixiang Feng,Defen Wang. Global Stability of an Epidemic Model with Quarantine and Incomplete Treatment[J].Acta mathematica scientia,Series A, 2021, 41(4): 1235-1248.

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Figures/Tables 6

References 20

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参数	定义
$\Lambda$	出生率
$\beta_{E}$	与潜伏者接触的传播概率
$\beta_{I}$	与感染者接触的传播概率
$\sigma$	有意识的易感者接触率调节因子
$p$	易感者由无意识转为有意识的速率
$r_{1}$	潜伏者转为隔离者的转移率
$r_{2}$	潜伏者转为感染者的转移率
$\varepsilon$	感染者被隔离的速率
$\xi$	接受治疗的速率
$\delta$	治疗失败的速率
$\mu$	自然死亡率
$d$	因病死亡率

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Global Stability of an Epidemic Model with Quarantine and Incomplete Treatment

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