Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Huaihai Institute of Technology(Natural Sciences Edition)》 2007-03
Add to Favorite Get Latest Update

Stable Solution to an Epidemic Model with Constant Contact

ZHU Tong-fu1,TIAN Can-rong2,LIN Zhi-gui3(1.Dept.of Basic Science Subjects,Lianyungang College of Vocational Technology,Lianyungang 222006,China;2.Dept.of Basic Science,Yancheng Institute of Technology,Yancheng 222005,China)3.College of Math,Yangzhou University,Yangzhou 225002,China)  
Researches on epidemic dynamics,which are of great practical significance,are receiving an ever-increasingly attention from people of different walks.In this paper,an epidemic model with constant contact is approached by the upper-and-lower solution method to discuss the asymptotic behaviors of disease-free equilibrium and endemic equilibrium.Sufficient conditions for the system to have a semi-positive globally asymptotically stable solution are obtained.
【Fund】: 国家自然科学基金资助项目(10671172)
【CateGory Index】: O175
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhi Gui LIN School of Mathematical Science, Yangzhou University, Yangzhou 225002, P. R. China;Time Delayed Parabolic System in the Three Species Predator-Prey Model[J];Acta Mathematica Sinica;2004-03
2 LI Jian-quan ~(1,2), ZHANG Juan ~1, MA Zhi-en ~1 (1.Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P.R.China; 2.Telecommunication Engineering Institute, Air Force Engineering University, Xi'an 710077, P.R.China);GLOBAL ANALYSIS OF SOME EPIDEMIC MODELS WITH GENERAL CONTACT RATE AND CONSTANT IMMIGRATION[J];应用数学和力学(英文版);2004-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Geng(Nanjing University of Finance and Economics, Nanjing 210003,China);The nonlinear three species prey-predator singularly perturbed Robin problems for the reaction diffusion system[J];Pure and Applied Mathematics;2007-02
2 WANG Geng(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China);Singularly Perturbation of the Nonlinear Three Species Prey-predator Reaction Diffusion System[J];Journal of Chongqing University(Natural Science Edition);2006-03
3 HU Zhi-xing, CHENG Xiao-wei, MA Wan-biao (Department of Applied Mathematics and Mechanics, Beijing University of Science and Technology, Beijing 100083);Analysis of an SIS Epidemic Model with Temporary Immunity and Nonlinear Incidence Rate[J];Chinese Journal of Engineering Mathematics;2009-03
4 MA Jing,RONG Yue-tang(School of Science,Xi'an Polytechnic University,Xi'an 710048,China);Existence and uniqueness of solutions of some prey predator model[J];Journal of Science of Teachers' College and University;2009-01
5 ZHAO Shi-jie,LI Da-pu(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,Guangxi,541004,China);Stability and Hopf Bifurcation of a Delayed SIS Model with Species Logistic Growth and a Nonlinear Incidence Rate[J];Journal of Guangxi Academy of Sciences;2011-01
6 LI Tian-lin (Basic Course Department,Lianyungang Technical College,Lianyungang Jiangsu 222006,China);A Stable Solution of Some Epidemic Models[J];Journal of Hebei Polytechnic University(Natural Science Edition);2008-01
7 TAN Fei(Dept.of Mathematics & Physics,Huaihai Institute of Technology,Lianyungang 222005,China);Stability of an Environment Mathematical Model with Diffusion[J];Journal of Huaihai Institute of Technology(Natural Sciences Edition);2007-04
8 YE Xing-yang1,LI Xue-peng2(1.School of Sciences,Jimei University,Xiamen 361021,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);Global Analysis of Some Epidemic Models with Waning Immunity[J];Journal of Jimei University(Natural Science);2009-01
9 MIAO Bao-jun1,2,RONG Yue-tang1 (1.School of Science,Xi'an Polytechnic University,Xi'an 710048,China;2.Department of Mathematics,Xuchang University,Xuchang 461000,China);Asymptotic behaviour of solution with three kinds predator-prey for reaction diffusion ecological system[J];Journal of Nanyang Normal University;2007-03
10 MIAO Bao-jun1,2,RONG Yue-tang1(1.School of Science,Xi'an Polytechnic University,Xi'an 710048,China;2.Department of Mathematics,Xuchang University,Xuchang 461000,China);Global asymptotic stability of solutions for a four-species predator-prey system with time delays[J];Journal of Qingdao Technological University;2007-06
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved