The spread of infectious diseases hinders the development of society and economy. The control of infectious diseases is one of the eternal themes of human beings. Microscopically, the development of the drug to kill bacterium and viruses,as well as the vaccines to pre- vent the diseases is the fundamental means to control infectious diseases. In macroscopical sight, the formulation of efficient and comprehensive control measures is the primary strate- gic choice to prevent the spread of infectious diseases among the population.Mathematical modeling is a good method to verify the effects of these policies and measures on the control of infectious diseases. By appropriate mathematical models for infectious diseases, we can study the law of its propagation, analyse effect of various policies and measures, compare the differences between different control measures. Moreover, we can develop an optimal com- prehensive control strategy for infectious diseases. This paper mainly stud
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