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Establish a reasonably accurate epidemic model to facilitate effective analysis , research and monitoring of infectious diseases spread of infectious diseases law , so that effective prevention and control its spread , this topic has been of concern in 1927 , Kenr- mack and Mckendrick first to explore the use of kinetic methods to monitor the spread of infectious disease process so far , infectious disease model roughly divided into ordinary differential models , partial models , often partial micro- micro- hybrid model and the application of knowledge of discrete probability models . article establish and studied with Age Structure SIR epidemic model are partial differential type model, and the spirit of the principle of theory to guide practice , assuming that mortality is not zero ( ie death due to illness personnel ) to study a model for predicting certain the spread of the disease in a particular area and provide a theoretical basis for prevention and treatment of paper from the structure consists of four parts : first, we have established the age structure of the SIR -type epidemic model, using characteristic method for solving , knowledge of the existence and uniqueness of solutions of the model sex and secondly, to discuss the model of the basic reproduction number R 0 expression , and proved that when R 0 lt; 1 , the disease die, and describe their biological significance again, discuss persistent SIR epidemic model , when R 0 gt; 1 , the model has a uniform weak sustainability and strong sustainability. Finally, the main conclusions of the article stated .
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