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《Journal of Beijing Technology and Business University(Natural Science Edition)》 2007-02
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STUDY ON STABILITY OF A RATIO-DEPENDENT THREE SPECIES ECO-EPIDEMIOLOGICAL MODEL

HUANG You-xia1,WANG Hui1,WANG Yang2(1.Department of Mathematics and Mechanics of Applied Science School,Beijing University of Science and Technology,Beijing 100083,China;2.Department of Land Science and Technology,China University of Geosciences,Beijing 100083,China)  
A predator-prey model with disease in the prey is formulated,in which only the susceptible prey is predated.The invariance of non-negativity and boundless of solution are analyzed.The sufficient condition of locally asymptotically stable of the equilibrium is obtained.Furthermore,the global asymptotically stability of the boundary equilibrium is studied,and a numerical simulation is then presented.
【Fund】: 国家自然科学基金(10671011)
【CateGory Index】: O175.1
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【References】
Chinese Journal Full-text Database 3 Hits
1 ZOU Wei, XIE Jie-hua (Science Department Nanchang Institute of Technology, Nanchang, Jiangxi, 330099);Analysis of Eco-epidemiological Model with Epidemic and Vertical Infection in the Prey[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-04
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Jiang-shan SUN Shu-lin (Institute of Environment Science, Fujian Normal University, Fuzhou Fujian 350007 China) (Department of Applied Mathematics, Dalian University of Technology, Dalian Liaoning 116024 China);Analysis of Eco-Epidemiological Model with Epidemic in the Predator[J];Journal of Biomathematics;2005-02
2 Song Xinyu (Department of Mathematics, Xinyang Normal University, Henan 464000)=Xiao Yanni Chen Lansun=(Institute of Mathematics, Academy of Mathematics and System Sciences, = Chinese Academy of Sciences, Beijing 100080);Stability and Hopf Bifurcation of an Eco-epidemiological Model with Delays[J];Acta Mathematiea Scientia;2005-01
3 CHEN Xiao-ying~1,ZHU Wan-zhen~2(1.Dept.of Foundation Teaching,Fujian Engineering Institude,Fuzhou 350014,China;2.Dept.of Science,Zhejiang University of Science and Technology,Hangzhou 310012,China);Qualitative Analysis of Autonomous SIS Model of Predator—Prey System with the Holling Ⅱ Functional Response[J];Journal of Xiamen University(Natural Science);2005-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Xu-xi (Mathematics and Science Dept. of the First Teachers Colleges of Hunan, Changsha, 410002, China);An Uniform Persistence of a Lotka-volterra Nonautonomous Predator-prey System with Delays[J];Journal of Anqing Teachers College(Natural Science Edition);2004-03
2 GAN Nai-feng~(1,2),ZHANG Qing-ling~1,ZHAO Li-chun~2(1.College of Scienences,Northeastern University,Shenyang Liaoning 110006 China;2.Anshan Normal University,Anshan Liaoning 114005,China);Global Struture Analysis of a Kind of Lotka-Volterra System[J];Journal of Anshan Normal University;2006-04
3 HAI Huan-zhi (Dept.Math.,Baoji Coll.Arts & Sci.,Baoji 721007,Shaanxi,China);Mathematical models of biocoenose spreading[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-04
4 ZHU Hui-jiao,HU Zhi-xing(Department of Mathematics and Mechanics,Applied Science School,Beijing University of Science and Technology,Beijing 100083,China);STUDY ON A KIND OF BEDDINGTON-DEANGELIS FUNCTION AND SEXUAL FAVORITISM OF THREE GROUPS[J];Journal of Beijing Technology and Business University(Natural Science Edition);2006-06
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7 LI Shun-yi,XIONG Zuo-liang,SHU Zhi-ping(Department of Mathematics,Nanchang University,Nanchang 330031,China);Stability Switches and Controlling of an Eco-Epidemiological Model with Delay-Dependent[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-01
8 LIU Hua-xiang1,ZENG Guang-hong2,WU Qing-chu2 (1.Department of Mathematics,Guangdong Ocean University,Zhanjiang Guangdong 524088,China;2.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China);Stability and Hopf Bifurcation Analysis for a Nonlinear Differential Equation Model System with Time Delay[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-03
9 XU Wen-xiong,ZHANG Su-xia(School of Sciences,Xi'an Jiaotong University,Xi'an 710049,China);Asymptotic behavior of a nonlinear infection-age-dependentepidemic model[J];Pure and Applied Mathematics;2005-03
10 XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 1.School of Science,Xi'an Jiaotong University,Xi'an 710049,China; 2.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China;The global stability of a nonlinear high dimensional SEIR epidemic model of two competitive species[J];Pure and Applied Mathematics;2008-02
【Co-references】
Chinese Journal Full-text Database 10 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 ZOU Wei, XIE Jie-hua (Science Department Nanchang Institute of Technology, Nanchang, Jiangxi, 330099);Analysis of Eco-epidemiological Model with Epidemic and Vertical Infection in the Prey[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-04
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4 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
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7 ZHANG Jing,SONG Yan,ZHAN Li(Department of Mathematics,Bohai University,Jinzhou 121013,China);Analysis of SI model with epidemic prey[J];Journal of Bohai University(Natural Science Edition);2008-02
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【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Han Litao,Yuan Sanling,Ma Zhi′en (School of Sciences, Xi′an Jiaotong University, Xi′an 710049, China);Autonomous SIS Epidemic Model of Two Competitive Species[J];Journal of Xi'an Jiaotong University;2001-08
2 YUAN CUNDE(Department of Mathematics and Computer, Shanxi Normal University, Linfen 041004)Hu BAOAN(Department of Foundation, College of Military and Traffic of PLA, Tianjin 300160);A SI EPIDEMIC MODEL WITH TWO-STAGE STRUCTURE[J];Acta Mathematicae Applicatae Sinica;2002-02
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