基于Logistic增长、药物治疗和潜伏感染的HIV模型研究 Study on the HIV Model Based on Logistic Growth, Drug Treatment and Latent Infection

本文根据HIV在感染者体内的感染过程，建立具有Logistic增长、药物治疗和潜伏感染的HIV动力学模型来模拟感染过程中病毒颗粒、T细胞和药物治疗之间的相互关系；然后运用微分方程的稳定性理论，对模型进行全局动力学分析；最后建立对比模型，分析得到了更真实的HIV感染过程，进而研究HIV的感染机理。 According to HIV infection process in infected individuals, this paper establishes HIV dynamics model of logistic growth, drug treatment and latent infection, to simulate the relationship among virus particles, T cells and drug treatment in the infection process. Then the stability theory of differential equations is used to analyze and discuss the global dynamics of the model. Finally by the way of comparatively analyzing different models, we get a more realistic process of HIV infection, which is benefit to research the mechanism of HIV infection.