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《Journal of Jilin University(Science Edition)》 2011-02
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Analysis of Predator-Prey Model with Disease in the Prey

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)  
A predator-prey model with disease in the prey was established and analysed.The existence of the equilibrium points and the boundedness of solution were studied.The sufficient condition of the local asymptotical stability of the boundary equilibrium was studied with the method of latent root,and furthermore,the global asymptotical stability of two boundary equilibrium points,and the local asymptotical stability of the positive equilibrium point were analyzed,with the sufficient condition of their stability obtained.
【Fund】: 国家自然科学基金(批准号:40974047;J0630104);; 吉林大学“985工程”项目基金
【CateGory Index】: O175.13
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Yong-jun,WANG Mei-juan,XU Jin-rui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Epidemics in predator-prey model with bilinear incidence and disease in predator[J];Journal of University of Shanghai for Science and Technology;2009-05
2 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
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Yan,WANG Mei-juan,LU Tie-jun(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Ecology-epidemic model considering effective contact rate dependent on total number of persons[J];Journal of University of Shanghai for Science and Technology;2007-05
2 ZHANG Yong-jun,WANG Mei-juan,XU Jin-rui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Epidemics in predator-prey model with bilinear incidence and disease in predator[J];Journal of University of Shanghai for Science and Technology;2009-05
3 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
4 LI Dong-mei,ZHANG Feng,SONG Ying-wei(School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China);On the Qualitative Analysis of Delayed Predator-Prey Model with Epidemic in the Predator[J];Journal of Harbin University of Science and Technology;2009-05
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 Chen Xiaoying,Tang Xiaowen,Xiang Jinghua (Mathematics and Physics Department,Fujian University of Technology,Fuzhou 350108,China);Persistence analysis of an SIRS epidemic model of two competitive species[J];Journal of Fujian University of Technology;2011-01
7 WANG Xu-hui,SONG Yan,WANG Cui-jiao(Department of Mathematics,Bohai University,Jinzhou 121013,China);Analysis of a class of vertical epidemic SEI model[J];Journal of Bohai University(Natural Science Edition);2008-02
8 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
9 GUO Zhong-kai~1,LI Wen-long~3,CHENG Lei-hu~1,LI Zi-zhen~(1,2) (1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.Key Laboratory of Arid and Grassland Ecology with the Ministry of Education, Lanzhou University,Lanzhou 730000,China; 3.School of Pastoral Agriculture Science and Technology,Lanzhou University,Lanzhou 730000,China);Eco-epidemiological model with epidemic and response function in the predator[J];Journal of Lanzhou University(Natural Sciences);2009-03
10 ZHAO Li-ping~1,LI Zi-zhen~(1,2),WANG Wen-ting~1,MA Zhi-hui~3 (1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.Key Laboratory of Arid and Grassland Ecology with the Ministry of Education, Lanzhou University,Lanzhou 730000,China; 3.School of Life Sciences,Lanzhou University,Lanzhou 730000,China);Dynamics of eco-epidemiological model with the vertical infection[J];Journal of Lanzhou University(Natural Sciences);2009-04
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