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《Journal of University of Shanghai for Science and Technology》 2009-05
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SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate

ZHOU Yan-li1,WANG Mei-juan2(1.Shanghai Medical Instrumentation College,Shanghai 200093,China;2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate was studied.The reproduction number for the model was found,which determines the existence of the infective disease.For the SIQRS epidemic models,by means of Liapunov functions,a few sufficient conditions of the global stability of the disease-free equilibrium were obtained.The local asymptotic stability of the endemic equilibrum was proved.
【Fund】: 上海市高校选拔培养优秀青年教师科研专项基金资助项目(slg08046)
【CateGory Index】: O175.1
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1 ZHU Liu-xia1,ZHAO Li-chun2,LI Hai-long2 (1.Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;2.Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China);The Pole Placement of a Singular SIRS System[J];Journal of Anshan Normal University;2009-06
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【Co-references】
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1 YIN Rong-rong,HU Zhi-xing(School of Applied Science,University of Science and Technology Beijing,Beijing 10083,China);STABILITY OF AN EPIDEMIC MODEL FOR NONLINEAR INFECTIOUS RATE WITH VACCINATION AND QUARANTINE[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-03
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