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具有脉冲的生态传染病模型周期解的存在性(英文) 被引量：5

Existence of periodic solution in eco-epidemic system with impulsive effect
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摘要 研究了一个具有脉冲周期的传染病模型.利用Floquet理论给出了平凡周期解、半平凡周期解及无病周期解线性稳定的条件.利用重合度理论,得到了正周期解的存在性.给出了系统持久的充分条件.数值模拟验证了理论结果的正确性. In this paper ,a periodic system with impulsive effect is investigated .By using the Floquet theory of linear periodic impulsive equation ,the stability of trivial periodic ,semi-trivial periodic solution and infection-free periodic solution are obtained .By using the coincidence de-gree theory the existence of positive periodic solutions is obtained .A sufficient condition to guarantee the system to be permanent is provided .Furthermore ,numerical analysis is given to confirm our theoretical results .
作者 刘俊利 贾滢 张太雷
机构地区 西安工程大学理学院 长安大学理学院
出处 《纺织高校基础科学学报》 CAS 2014年第3期315-321,共7页 Basic Sciences Journal of Textile Universities
基金 Supported by the National Natural Science Foundation of China(11101323) the Shaanxi Provincal Education Grant(12JK0879)
关键词 生态传染病模型 FLOQUET理论 重合度理论 eco-epidemic model Floquet theory coincidence degree theory
分类号 O175 [理学—基础数学]
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同被引文献31

  • 1怀济森,陈焕春.伪狂犬病病毒潜伏感染的研究[J].动物医学进展,1997,18(3):17-19. 被引量：13
  • 2Li Jianquan.Global analysis of SIS epidemic models with variable total population size[J]. Mathematical and Computer Modelling . 2004 (11)
  • 3Hongbin Guo,Michael Y. Li,Zhisheng Shuai.Global stability of the endemic equilibrium of multigroup SIR epidemic models. Can. Appl. Math. Q . 2006
  • 4Xingge Niu,Tailei Zhang,Zhidong Teng.??The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey(J)Applied Mathematical Modelling . 2010 (1)
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  • 6Junli Liu,Jianhong Wu,Yicang Zhou.Modeling disease spread via transport-related infection by a delay differential equation. Rocky Mt. J. Math . 2008
  • 7Bame Napoleon,Bowong Samuel,Mbang Joseph,Sallet Gauthier,Tewa Jean-Jules.Global stability analysis for SEIS models with n latent classes. Mathematical biosciences and engineering : MBE . 2008
  • 8Tailei Zhang,Junli Liu,Zhidong Teng.??Dynamic behavior for a nonautonomous SIRS epidemic model with distributed delays(J)Applied Mathematics and Computation . 2009 (2)
  • 9Jianquan Li,Yali Yang,Yicang Zhou.??Global stability of an epidemic model with latent stage and vaccination(J)Nonlinear Analysis: Real World Applications . 2011 (4)
  • 10Tailei Zhang,Zhidong Teng.??Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence(J)Chaos, Solitons and Fractals . 2006 (5)

引证文献5

二级引证文献2

纺织高校基础科学学报
2014年 第3期

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