一类具有接种的麻疹模型的动力学分析
On Dynamical Analysis of a Measles Model with Vaccination
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摘要: 建立了一类具有二次接种的麻疹动力学模型。通过构造Lyapunov函数得出疾病消除平衡点及地方病平衡点是全局渐近稳定的,且稳定性完全由基本再生数决定,从而为防治疫情的爆发提供一定的科学依据。
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关键词:
- 麻疹动力学模型 /
- Lyapunov函数 /
- 全局渐近稳定 /
- 病毒动力学
Abstract: In this paper ,a measles model with two vaccinations has been proposed .By constructing two Lyapunov functions ,the infection-free equilibrium and endemic equilibrium have been shown to be glob‐ally asymptotically stable ,and the global stability of the models completely determined by the basic repro‐ductive number .T hese results provides a scientific basis for controlling the disease in medical science . -
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