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A novel HIV/AIDS epidemic model in which we incorporate a new compartment, that is, treatment compartment T, is introduced. The global dynamics of our model are determined by the basic reproduction number R0. When the basic reproduction number R0 is less than unity, the disease-free equilibrium is globally asymptotically stable. When the basic reproduction number R0 is greater than unity, the endemic...
In this paper, we propose a kind of quitting smoking model with age structure, in which we consider two control measures, i,e., propaganda and education for the public and treatment for the smokers, in order to achieve the desired effect of smoking cessation. We calculated the threshold of smoking, and put forward an objective function. Based on Pontryagin Maximum Principle(PMP), we discuss issues...
In this paper, we formulate a kind of SIS-type Hand, Foot and Mouth Disease(HFMD) model in a short time interval (no more than ten years), in which we sufficiently consider the characteristics of seasonal variation and use periodic infection rate β(t) to describe it. Based on the available data of HFMD in china which is released monthly by Chinese Ministry of Health from 2009 to 2014(see the appendix),...
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