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《Complex Systems and Complexity Science》 2017-04
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The Thresholds of Some Epidemic Models

CUI Yumei;CHEN Shanshan;FU Xinchu;College of Sciences,Shanghai University;  
This paper introduces the derivation of basic reproduction numbers for several epidemic models.The basic reproduction number plays an important role in describing the dynamic behavior of infectious disease models,which is an important indicator to determine the prevalence of diseases.Therefore,the basic reproductive number is a significant reference for the prevention and control of diseases and the immunization strategy.The basic reproduction numbers can be derived by means of the definition,the monotonicity of the infected individuals at the initial moment,the existence of the positive equilibrium and the local stability of the disease-free equilibrium,the numerical simulation,respectively.This paper introduces many epidemic models especially network model and calculates their basic reproduction numbers.Finally,we analyze the changes in the basic reproduction numbers during different periods.
【Fund】: 国家自然科学基金(11572181);; 高等学校博士学科点专项科研基金(20123108110002)
【CateGory Index】: O175
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