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一类具有年龄和病程的SEIR传染病模型平衡解的存在性
引用本文:俞芳,由守科,孙德荣.一类具有年龄和病程的SEIR传染病模型平衡解的存在性[J].伊犁师范学院学报(自然科学版),2013(4):24-28.
作者姓名:俞芳  由守科  孙德荣
作者单位:[1]昌吉学院数学系,新疆昌吉831100 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046
基金项目:昌吉学院研究生启动基金(2012SSQD011).
摘    要:研究了一类具有年龄和病程的SEIR传染病模型,利用特征线法、零点定理,证明了无病平衡解和地方病平衡解的存在性。

关 键 词:传染病模型  存在性  无病平衡解  地方病平衡解

The Existence of Equilibrium of SEIR Epidemic Model with Age and Course of Diseases
YU Fang,YOU Shou-ke,SUN De-rong.The Existence of Equilibrium of SEIR Epidemic Model with Age and Course of Diseases[J].Journal of Ili Normal University,2013(4):24-28.
Authors:YU Fang  YOU Shou-ke  SUN De-rong
Institution:1.Department of Mathematics Changji University, Changji, Xinjiang 831100; 2. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China)
Abstract:In this paper, we research a class of SEIR epidemic model with age and course of diseases. By using characteristic method and the theorem of zero, the existence of disease-free equilibrium and endemic equilibrium are proved.
Keywords:epidemic model  existence  disease-free equilibrium  endemic equilibrium
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