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《Journal of Guangxi Academy of Sciences》 2011-01
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Stability and Hopf Bifurcation of a Delayed SIS Model with Species Logistic Growth and a Nonlinear Incidence Rate

ZHAO Shi-jie,LI Da-pu(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,Guangxi,541004,China)  
A delayed SIS Model with Species Logistic growth and a non-linear incidence rate is studied.First,the local stability of the positive equilibrium is investigated.Then,based on center manifold and normal form,the formulas for the determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are obtained.Finally,some numerical simulations are carried out by matlab program.
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Li Jianquan Ma Zhien Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049 Department of Mathematics and Physics, Air Force Engineering University, Xi'an 710051;Global Stability of an Epidemic Model with Vaccination[J];Acta Mathematica Scientia;2006-01
2 Xu Weijian (Department of Mathematics and Computer Science,Yulin Normal University,Yulin 537000);Stability and Hopf Bifurcation of an SIS Model with Species Logistic Growth and Saturating Infect Rate[J];Acta Mathematica Scientia;2008-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Da-zhi,GUO Xiao-jun,ZHANG Hui(School of Science,Nantong University,Nantong 226007);The Stability for an Epidemic Model with Vaccinal Immunity and Nonlinear Infectious Rate[J];Chinese Journal of Engineering Mathematics;2007-06
2 GUO Xiao-jun LI Da-zhi (School of Sciences,Nantong University,Nantong 226007,China);Stability Analysis on a Class of SIQR Epidemic Dynamical Model with Vaccination and Isolated Items[J];Journal of Nantong University(Natural Science Edition);2008-04
3 ZHANG Hui(School of Sciences,Nantong University,Nantong 226007,China);The Stability for a Class of Epidemic Model with Population Change[J];Journal of Nantong University(Natural Science Edition);2009-02
4 XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Analysis of predator-prey model with saturated infect rate in epidemic predator[J];Journal of University of Shanghai for Science and Technology;2009-05
5 ZHOU Yan-li1,WANG He-qing2(1.Shanghai Medical Instrumentation College,Shanghai 200093,China;2.Shanghai Pablishing and printing College,Shanghai 200093,China);Analysis of global stability for an epidemic model with quarantine and vaccination[J];Journal of University of Shanghai for Science and Technology;2010-03
6 XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIRS epidemical model of continuous vaccination with saturating infect rate and vertical infection[J];Journal of University of Shanghai for Science and Technology;2010-04
7 LIU Mao-xing1,2,JIN Zhen1,RUAN Jiong2(1.School of Science,North University of China,Taiyuan 030051,China;2.School of Mathematical Sciences,Fudan University,Shanghai 200433,China);A Discrete-Time SIS Model with Impulsive Vaccination[J];Journal of North University of China(Natural Science Edition);2010-05
8 YANG Jian-ya,ZHANG Feng-qin(Department of Applied Mathematics Yuncheng Universety,Yuncheng 044000,China);Qualitative Analysis of an SEIR Epidemic Model with Vertical Transmission and Vaccination[J];Mathematics in Practice and Theory;2009-17
9 REN Yan-fang,HU Zhi-xing(School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China);Global Stability and Permanence of SIQS Epidemic Model with Distributed Time Delay[J];Journal of Shanxi Normal University(Natural Science Edition);2010-03
10 ZHANG Dongshuang,WU Chuansheng Postgraduate School of Science,WUT,Wuhan 430070,China.;Asymptotic Analysis of SARS Model in Epidemiology[J];Journal of Wuhan University of Technology(Information & Management Engineering);2009-05
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 Lou Jie Ma Zhien (Department of Mathematics, Xi'an Jiaotong University, Xi'an China, 710049);Stability of Some Epidemic Models with Passive Immunity[J];Acta Mathematiea Scientia;2003-03
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3 Yuan Sanling~1 Ma Zhien~2 Han Maoan~3(~1College of Science, University of Shanghai for Science and Technology, Shanghai 200093)(~2Department of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049)(~3Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030);Global Stability on an SIS Epidemic Model with Time Delays[J];Acta Mathematiea Scientia;2005-03
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