论文标题

淋病动力学和控制模型的灵敏度分析

A sensitivity analysis of a gonorrhoea dynamics and control model

论文作者

Omenyi, Louis, Ezaka, Aloysius, Adagba, Henry O., Ozoigbo, Gerald, Elebute, Kafayat

论文摘要

我们制定并分析了淋病动力学的强大数学模型,该模型融合了被动免疫和控制。我们的结果表明,该模型的无病和地方性平衡在局部和全球渐近稳定。对模型的灵敏度分析表明,模型的动力学是可变的,并且取决于潜在和受感染类的衰减率,控制参数以及相互作用。特别是,衰减率越低,被动免疫的指数下降越多,但由于控制参数的存在以及潜在和受感染类别的限制性相互作用,易感人群逐渐增加到平衡和逐渐减弱。

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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