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《Journal of Biomathematics》 2007-03
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The Prey-Predator Model with Epidemic in the Predator

YANG Jian-ya ZHANG Feng-qin (Department of Applied Mathematics,Yuncheng Universety,Yuncheng Shanxi 044000 China)  
In this paper,an SI predator-prey model of predator with epidemic is discussed. And it is obtained that the stability conditions and perturbed solution.
【Fund】: 山西省重点扶持学科资助(20055024);; 运城学院项目资助(2005207);; 山西省教育厅科技开发项目资助(2007151)
【CateGory Index】: O193;Q141
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【References】
Chinese Journal Full-text Database 2 Hits
1 LI Qing,LI You-wen(Department of Mathematics,North University of China,Taiyuan 030051,China);Analysis of an Prey-predator Model with Diseases in the Prey and Predator[J];Mathematics in Practice and Theory;2009-09
2 ZHENG Chong-wu1,2,ZHANG Feng-qin1 (1.Department of Applied Mathematics,Yuncheng University,Yuncheng,Shanxi,044000,China; 2.Department of Sciences,Zhongbei University,Taiyuan,Shanxi,030051,China);A Prey-Predator SIS Model with Epidemic in the Predator[J];Journal of Xuzhou Normal University(Natural Science Edition);2008-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 YUANG San-ling, Han Li-tao, MA Zhi-en (Faculty of Science. Xi'an Jiaotong University, Shanxi Xi'an 710049 China);A Kind of Epidemic Model Having Infectious Force in both Latent Period and Infected Period[J];Journal of Biomathematics;2001-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 MENG Qing-jiang,MA Li-xin(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);Analysis and Construction of the Mathematical Model on the Spread of AIDS[J];Journal of Dezhou University;2007-02
2 WANG Yi-jie(Mathematics Department of Minjiang University,Fuzhou,Fujian 350108,China);Permanence of a kind of non-autonomous eco-epidemic predator-prey system[J];Journal of Minjiang University;2008-02
3 LUO Rong-gui,JIANG Tao(School of Management,Wuhan University of Technology,Wuhan 430070,China);The Research of Technology Diffusion Model Based on the SIR Epidemic Model[J];Journal of Industrial Engineering and Engineering Management;2006-01
4 WU Hai-jian,SON Hong,SONG Yan (Department of Mathematics,Bohai University,Jinzhou 121013,China);Model for a class of epidemic disease with constant immigration and with infectious property in latent period and in fected period[J];Journal of Bohai University(Natural Science Edition);2009-01
5 LI Jian,SONG Yan (Department of Mathematics,Bohai University,Jinzhou 121013,China);A class of SEIS model with infectious both latent period and infected period with general infection rate[J];Journal of Bohai University(Natural Science Edition);2009-02
6 DONG Lin,QIU Ya-lin;A kind of SEIS Model Infectious both in Latent and Infected Period[J];Journal of Longyan University;2007-06
7 LIU Xiao-yu1,2,LI Dong-mei1,WANG Hui1(1.School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China;2.Harbin Financial College,Harbin 150030,China);Stability Analysis of an Epidemic Model with Inflectious Force in Latent Period and Inflected Period[J];Journal of Harbin University of Science and Technology;2009-06
8 JIA Geng-hua,ZHANG Yong-sheng(Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003,China);Stability of white plague model based on vertical epidemic[J];Journal of Hubei Normal University(Natural Science);2009-04
9 SUN Shu-lin YUAN Cun-de (School of Mathematical and Computer Science Shanxi Normal University, Linfen Shanxi 041004 China);On the Analysis of Predator-Prey Model with Epidemic in the Predator[J];Journal of Biomathematics;2006-01
10 ZHANG Tong~1 FANG Dao-yuan~2 1 Zhijiang College,Zhejiang University of Technology,Hangzhou Zhejiang 310024 China 2 Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310027 China;A Kind of Epidemic Model with Infectious Force in Both Latent Period and Infected Period and Nonlinear Infection Rate[J];Journal of Biomathematics;2006-03
【Co-references】
Chinese Journal Full-text Database 6 Hits
1 ZHANG Yong-po,WANG Hui(School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China);ANALYSIS OF A PREDATOR-PREY MODEL WITH EPIDEMIC IN PREDATOR[J];Journal of Beijing Technology and Business University(Natural Science Edition);2007-04
2 SUN Shu-lin, YUAN Cun-de ( School of Mathematical and Computer Science Shanxi Teacher’s University, Linfen 041004);Analysis of Eco-epidemiological SIS Model with Epidemic in the Predator[J];Chinese Journal of Engineering Mathematics;2005-01
3 HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science, Xi'An Jiaotong University, Xi'an Shanxi 710049 China;Stability of an SIRS Epidemic Model of Two Competitive Species[J];Journal of Biomathematics;2003-01
4 SUN Shu-lin YUAN Cun-de (School of Mathematical and Computer Science Shanxi Normal University, Linfen Shanxi 041004 China);On the Analysis of Predator-Prey Model with Epidemic in the Predator[J];Journal of Biomathematics;2006-01
5 ZHENG Chong-wu1,2,ZHANG Feng-qin1 (1.Department of Applied Mathematics,Yuncheng University,Yuncheng,Shanxi,044000,China; 2.Department of Sciences,Zhongbei University,Taiyuan,Shanxi,030051,China);A Prey-Predator SIS Model with Epidemic in the Predator[J];Journal of Xuzhou Normal University(Natural Science Edition);2008-02
6 ZHU Wan-zhen, XU Mei-sheng (Dept.of Science,Zhejiang University of Science and Technology,Hangzhou 310023,China);SIS epidemic model of two competitive species with nonlinear incidence[J];Journal of Hangzhou Institute of Applied Engineering;2004-02
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 LI Qing,LI You-wen(Department of Mathematics,North University of China,Taiyuan 030051,China);Analysis of an Prey-predator Model with Diseases in the Prey and Predator[J];Mathematics in Practice and Theory;2009-09
2 LI Yi(Department of Mathematics,Southeast University,Nanjing,Jiangsu,210096,China);Global Stability of Nonnegative Equilibriums for a Class of Prey-Predator Models[J];Journal of Xuzhou Normal University(Natural Science Edition);2008-04
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