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《Journal of University of Shanghai for Science and Technology》 2007-05
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Ecology-epidemic model considering effective contact rate dependent on total number of persons

LIU Yan,WANG Mei-juan,LU Tie-jun(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
An ecology-epidemic model which takes into account the effective contact rate relying on the total number of persons is proposed and the expression of the threshold value R0 is extracted on the invariant subset.If R0≤1,then the diseasefree epuilibrium point is of global asymptotic stability;if R01,then exists the only epidemic equilibrium point,which is of global asymptotic stability.Corresponding discussions are made regarding the models of both bilinearity contagiosity and standard contagiosity.
【CateGory Index】: O193
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【References】
Chinese Journal Full-text Database 1 Hits
1 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
【Citations】
Chinese Journal Full-text Database 1 Hits
1 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
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Yong-jun,WANG Mei-juan,XU Jin-rui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Time-Delay Predator-Prey Model with Disease in the Predator[J];Complex Systems and Complexity Science;2009-04
2 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
3 LIU Shuo~1,MA Li-na~2,LI Jian-quan~3,LI Wen-chao~1 (1.Faculty of Biomedical Engineering,The Fourth Military Medical University,Xi'an 710032,China; 2.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China; 3.Department of Applied Mathematics and Physics,Air Force Engineering University,Xi'an 710051, China);Global analysis of an eco-epidemiological system with vertical transmission[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2010-03
4 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
5 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
6 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
7 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
8 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
9 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
10 LI Jia-bin~1,LI Wen-long~2,LI Zi-zhen~1,WANG Wen-ting~1 (1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.School of Pastoral Agriculture Science and Technology, Lanzhou University,Lanzhou 730000,China);Dynamics of a strengthened eco-epidemiological model for diseased predators[J];Journal of Lanzhou University(Natural Sciences);2010-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 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
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 (School of Information,Renmin University of China,Beijing 100872);A Predator-prey SIS Epidemic Model with Infected Prey[J];Chinese Journal of Engineering Mathematics;2007-01
4 WANG He-qiao,ZHOU Yan-li,WANG Mei-juan,XU Chang-yong (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates[J];Journal of University of Shanghai for Science and Technology;2007-02
5 SHEN Su-hui,YUAN San-ling(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);A kind of combined epidemic models of SEIR and SEIS with varying total population size[J];Journal of University of Shanghai for Science and Technology;2009-03
6 DU Yan-ke,XU Rui(Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China);Global Stability of an SI Epidemic Model with Standard Incidence Rate[J];Journal of Ordnance Engineering College;2008-02
7 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
8 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
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 FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying (College of ln formatian Science and Engineering Northeastern University,Shenyang Liaoning 110004 China);The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination[J];Journal of Biomathematics;2008-02
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 JIA Jian-wen,HU Bao-an (Shanxi Teachers University, Shanxi Linfen O41004 China);Global Stability for Nonautonomous Predator-Prey Patch-System with Type Ⅱ Functional Response[J];Journal of Biomathematics;2000-04
2 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
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