一个带有潜伏感染和不完全治疗的肺结核模型研究

A Tuberculosis Model with Infectivity in Latent Period and Imperfect Treatment

介绍了一个带有潜伏感染和不完全治疗的肺结核传染病模型,结果表明,持续振荡不可能产生,地方病的大小趋于无病平衡点或某个地方病平衡点,得到了无病平衡态的全局渐近稳定性和地方病平衡点的局部渐近稳定性.

An epidemiological model of tuberculosis with infectivity in latent period and imperfect treatment are in- troduced. As is shown that sustained oscillations are not possible and the endemic proportions either approach the disease-free equilibrium or an endemic equilibrium. The global asymptotic stability of the infection-free state is es- tablished as well as local asymptotic stability of the endemic equilibrium.