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《Journal of Biomathematics》 2008-01
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Study on the Stability of an Eco-Epidemiological Model with Disease in the Prey

HUANG You-xia~1 WANG Hui~1 SU Dan-dan~2 (1 Department of Mathematics and Mechanics of Beijing University of Science and Technology,Beijing 100083 China) (2 Siehuan Normal University Mathematics & Software Insitute,Chengdu Sichuan 610068 China)  
Considering the adversity of predating the infected prey for predator,we for- mulate a predator-prey model with disease in the prey.The sufficient condition of locally asymp- totically stable of the equilibrium is obtained.The invariance of non-negativity and boundness of solution are analyzed.Furthermore,the global asymptotic stability of the boundary equilibrium is studied,and the sufficient condition of global asymptotic stable is also obtained.
【CateGory Index】: O175;Q141
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Yong-po,LIANG Xin(Flight Training Base,Aviation University of Air Force,Changchun 130022,China);Analysis of an Eco-epidemiological Model under Sparse Effect[J];Journal of Changchun Normal University(Natural Science);2010-06
2 ZHANG Yong-po1,MA Ming-juan1,HUANG Qing-dao2(1.Department of Foundation,Aviation University of Air Force,Changchun 130022,China; 2.College of Mathematics,Jilin University,Changchun 130012,China);Analysis of Predator-Prey Model with Disease in the Prey[J];Journal of Jilin University(Science Edition);2011-02
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 ZHANG Yong-po,LIANG Xin(Flight Training Base,Aviation University of Air Force,Changchun 130022,China);Analysis of an Eco-epidemiological Model under Sparse Effect[J];Journal of Changchun Normal University(Natural Science);2010-06
2 Zhao Shijie,Chang Xia,Li Dingyi,Yuan Zhaohui(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China);Stability and Hopf bifurcation in delayed Eco-epidemiological model[J];Journal of Guilin University of Electronic Technology;2010-03
3 ZHANG Jian, ZHANG Hongmin (Department of Mathematics, Qiqihar University, Qiqihar Heilongjiang 161006, China);Analysis of stage-structured SI model[J];Journal of Northeast Agricultural University;2010-08
4 LU Zhi-qi,LI ling (College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China);An Eco-epidemiological SIS Model with Stage Structure and the Epidemic of Immature in the Predator[J];Journal of Henan Normal University(Natural Science);2010-02
5 CHEN Xiao-ying, TANG Xiao-wen, TANG Yan-zhen(Dept.of Math and Physics,Fujian Engineering Institute,Fuzhou 350014,China);The Stability Analysis of an SIRS Epidemic Model with Saturated Infection Rate between Two Competitive Species[J];Journal of Jiamusi University(Natural Science Edition);2010-05
6 WU Sha,LI Bi-wen(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China);Hopf bifurcation and stability of a predator-prey system with time delay[J];Journal of Hubei Normal University(Natural Science);2010-03
7 Liu Shuo,et al(Faculty of Biomedical Engineering,The Fourth Military Medical University,Xi'an 710032);Global Analysis of an SI Predator-prey Epidemic Model with Vertical Transmission[J];Journal of Mathematical Medicine;2010-06
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 HAN Litao1,MA Zhien1,SHI Tan2 (1School of Science, Xi'an Jiaotong University, Xi'an 710049; 2Baoji College of Arts and Sciences, Baoji 721007);An Autonomous SIS Epidemic Model with Standard Incidence of Two Competitive Species[J];Chinese Journal of Engineering Mathematics;2003-04
2 HAN Li-tao,YUAN San-ling,MA Zhi-en(Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049);Persistence of an SIRS Epidemic Model of Two Competitive Species[J];Chinese Journal of Engineering Mathematics;2004-02
3 LI Jian-jun1,LI Jian2,GAO Wen-jie1(1.Institute of Mathematics,Jilin University,Changchun 130012,China;2.College of Information Technology,Jilin Agricultural University,Changchun 130118,China);Analysis of a Prey-predator Model for Prey with Epidemic Disease[J];Journal of Jilin University(Science Edition);2009-02
4 LI Shuang1,WANG Xiao-pan2,LU Zhi-qi3(1.Department of Mathematics,Xinxiang University,Xinxiang 453000,China)(2.College of Xinlian,Henan Normal University,Xinxiang 453007,China)(3.College of mathematics and information science,Henan Normal University, Xinxiang 453007,China);Analysis of Eco-epidemiological Model with Prey Diffusion[J];Mathematics in Practice and Theory;2009-09
5 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 Zhao Shijie,Chang Xia,Li Dingyi,Yuan Zhaohui(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China);Stability and Hopf bifurcation in delayed Eco-epidemiological model[J];Journal of Guilin University of Electronic Technology;2010-03
2 ZHANG Yong-po1,MA Ming-juan1,HUANG Qing-dao2(1.Department of Foundation,Aviation University of Air Force,Changchun 130022,China; 2.College of Mathematics,Jilin University,Changchun 130012,China);Analysis of Predator-Prey Model with Disease in the Prey[J];Journal of Jilin University(Science Edition);2011-02
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