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《Journal of Jiangxi Normal University(Natural Sciences Edition)》 2009-01
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Stability Switches and Controlling of an Eco-Epidemiological Model with Delay-Dependent

LI Shun-yi,XIONG Zuo-liang,SHU Zhi-ping(Department of Mathematics,Nanchang University,Nanchang 330031,China)  
This paper considers an eco-epidemiological model with delay-dependent.The boundedness of solutions and stability of the equilibrium points are investigated.By using stability switch criteria studying the stability switch of the positive equilibrium,numerical simulations show stability switch and periodic oscillation.Parameters a.ecting the instability regions of the system are discussed.
【Fund】: 江西省自然科学基金(0611084)资助项目
【CateGory Index】: R181.3
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 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
2 XUE Ying,XIONG Zuo-liang Department of Mathematics,Nanchang University,Nanchang Jiangxi 330047,China;Stability of an SIR Epidemic Model with Vaccinal Immunity and a Varying Total Population Size[J];Acta Analysis Functionalis Applicata;2007-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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);STUDY ON STABILITY OF A RATIO-DEPENDENT THREE SPECIES ECO-EPIDEMIOLOGICAL MODEL[J];Journal of Beijing Technology and Business University(Natural Science Edition);2007-02
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 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
4 Zhao Shijie,Chang Xia,Li Dingyi,Yuan Zhaohui(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China);Stability and Hopf bifurcation in delayed Eco-epidemiological model[J];Journal of Guilin University of Electronic Technology;2010-03
5 WU Sha,LI Bi-wen(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China);Hopf bifurcation and stability of a predator-prey system with time delay[J];Journal of Hubei Normal University(Natural Science);2010-03
6 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
7 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
8 CHU Yang-jie,ZHOU Jia-hua,WANG Jin-shui,HUANG Zhang-can School of Sciences,Wuhan University of Technology,Wuhan 430070,China;Analysis of SEIQ epidemic model in scale-free networks[J];Computer Engineering and Applications;2010-05
9 CHU Yang-jie,ZHOU Jia-hua,WANG Jin-shui,HUANG Zhang-can School of Sciences,Wuhan University of Technology,Wuhan 430070,China;Analysis of SEIQ epidemic model in homogeneous complex networks[J];Computer Engineering and Applications;2010-19
10 XIN Zhi,BAO Hai-quan,YUAN Chun-hong(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China);Analysis of an Eco-Epidemiological Model with Disease in the Prey[J];Journal of Inner Mongolia Normal University(Natural Science Edition);2009-06
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 XU Wen-xiong, ZHANG Zhong-hua (School of Sciences, Xi'an Jiaotong University, Xi'an710049);Global Stability of SIR Epidemiological Model with Vaccinal Immunity and Bilinear Incidence Rates[J];College Mathematies;2003-06
2 XU Wen-xiong ZHANG Zhong-hua XU Zong-ben (School of Science,Xi'an Jiaotong University,Xi'an Shanxi 710049 China);Asympotic Analysis of SEIS Model with General Saturated Contact Rate[J];Journal of Biomathematics;2005-03
3 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];Applied Mathematics and Mechanics;2004-04
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