淋病动力学与控制模型的敏感性分析
A sensitivity analysis of a gonorrhoea dynamics and control model
摘要:
我们制定和分析了一个强大的数学模型的动态淋病纳入被动免疫和控制。我们的结果表明,该模型的无病平衡点和地方病平衡点都是局部和全局渐近稳定的。模型的敏感性分析表明,该模型的动态是可变的,并依赖于衰减率,控制参数和相互作用的潜在和感染类。特别是,衰减率越低,被动免疫力的指数下降越多,但易感人群增加到平衡,并由于存在控制参数和限制的相互作用的潜伏和感染类渐近衰减。
英文摘要:
We formulate and analyse a robust mathematical model of the dynamics of gonorrhoea incorporating passive immunity and control. Our results show that the disease-free and endemic equilibria of the model are both locally and globally asymptotically stable. A sensitivity analysis of the model shows that the dynamics of the model is variable and dependent on waning rate, control parameters and interaction of the latent and infected classes. In particular, the lower the waning rate, the more the exponential decrease in the passive immunity but the susceptible population increases to the equilibrium and wanes asymptotically due to the presence of the control parameters and restricted interaction of the latent and infected classes.
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