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《Basic Sciences Journal of Textile Universities》 2004-03
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The global existence of periodic solutions for a SIR epidemic model

HU Xin-li~1, WANG Kai-ming~2, JIN Shang-hai~3(1.Science College,Xi'an University of Engineering Science and Technology,Xi'an 710048,China;2.Science College,Chang'an University,Xi'an 710064,China;3.Science College,Xi'an University of Techonlogy,Xi'an 710048,China)  
A set of easily verifiable sufficient conditions are derived for the global existence of periodic solutions with strictly posityive components for a SIR epidemic model by using the method of coincidence degree.(Numerical) simulation is done to show the result.
【Fund】: 国家自然科学基金资助项目(30170823)
【CateGory Index】: O242.1
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 NIU Xiu-yan~1 JIANG Xiao-jun~2 YANG Xiao-jing~1 LI Jian-hong~1 ZHANG Rui-feng~1 (1.Department of Mathematics and Physics,Hebei Science Normal College,Qinhuangdao 066004, China;2.College of Computer Sciences,Beijing University of Technology,Beijing 100022,China);ON EXISTENCE OF PERIODIC SOLUTION FOR A DIFFERENTIAL EQUATION WITH DELAYS[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-01
2 HU Xinli(School of Science,Xi′an Polytechnic University,Xi′an 710048,China);The existence of periodic solutions for a SIR epidemic model with constant birth rate[J];Pure and Applied Mathematics;2007-03
3 NIU Xiuyan1,JIANG Xiaojun2,LV Jinfeng1,HE Shangqin1(1.Department of Mathematics and Physics,Hebei Science Normal College,QinHuangdao 066004,China;(2.College of Computer Sciences,Beijing University of Technology,Beijing 100022,China);On the Existence of Periodic Solution for a Differential Equation with One Delay[J];Journal of Chengdu University(Natural Science Edition);2008-04
4 JIN Zhen, YUAN San-ling, Ma Zhi-en (Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049);Global Existence of Positive Periodic Solution of a Food Chain System with Holling Type Functional Response[J];Chinese Journal of Engineering Mathematics;2001-04
5 PU Zhi lin 1, GOU Qing ming 2 (1 Mathematics Department, Sichuan Normal University, Chengdu 610066; 2 Mathematics Department, Peiling Normal University, Chongqing 408003);Existence of Positive Periodic Solutions for a Class of Differential Equations with Time Delay[J];Chinese Journal of Engineering Mathematics;2002-03
6 QI Su-ying1,LIU Gui-rong2(1-Department of Mathematics,Xinzhou Teachers University,Xinzhou Shanxi 034000;2-School of Mathematical Sciences,Shanxi University,Taiyuan 030006);Existence of the Unique the Positive Periodic Solution for a Class of Hematopoiesis Models[J];Chinese Journal of Engineering Mathematics;2009-01
7 YAO Xiao-jie(Department of Mathematics and Computer Sciences,Liuzhou Teachers College,Liuzhou 545004,China);Existence and multiplicity of positive periodic solutions for a class of differential equation with distributed delay[J];Journal of Guangxi University of Technology;2006-04
8 YAO Zhi-jian(Department of Mathematics and Physics,Anhui Institute of Architecture and Industry,Hefei 230022,China);Periodic Solution and Almost Periodic Solution of a Differential Equation with Delays[J];Journal of Gansu Education College(Natural Science Edition);2005-04
9 YAO Zhi-jian(Department of Mathematics and Physics,Anhui Institute of Architecture and Industy,Hefei 230022,China);Existence of Periodic Solution of an Schoner Model with Delays[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2006-02
10 NIU Xiu-yan1,JIANG Xiao-jun2,REN Yun-li1,LIU Ji-fa1,LIU Zhi-fei3(1.Hebei Normal University of Science and Technology,Qinhuangdao 066004,China;2.Academic Administration of Beijing Union University,Beijing 100101,China;3.Staff Department of Hebei Normal University of Science and Technology,Qinhuangdao 066004,China);EXISTENCE OF PERIODIC SOLUTION FOR A DELAY DIFFERENTIAL EQUATION OF PLANKTON ALLELOPATHY[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-06
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 HU Xinli(School of Science,Xi′an Polytechnic University,Xi′an 710048,China);The existence of periodic solutions for a SIR epidemic model with constant birth rate[J];Pure and Applied Mathematics;2007-03
2 MA Zhi en\+1, JIN Zhen\+2 (1. Dept. of Mathematics, Xi′an Jiaotong University, Xi′an 710049; 2. Dept. of Mathematics, North China Institute of Technology, Taiyuan 030051, China);Dynamic Models of Infectious Diseases in a Population with Varying Size[J];Journal of North China Institute of Technology;2001-04
3 FAN Zhi-liang, ZHANG Ju-ping(Dept. of Applied Mathematics, North China Institute of Technology, Taiyuan 030051, China);A Class of The Combination of SIR and SIS Epidemic Modelwith Immigrants of Constant[J];Journal of North China Institute of Technology;2004-02
4 FAN Zhi-liang,ZHANG Ju-ping(Dept.of Mathematics,North University of China,Taiyuan 030051,China);A SIR Epidemic Model with an Infectious Rate β(N)[J];Journal of North University of China(Natural Science Edition);2006-02
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