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一类带有Allee影响和病毒传播的捕食食饵模型的正平衡态 被引量:3

Positive steady-state of predator-prey model with allee effect and epidemic transmission
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摘要 讨论了具有Allee影响和病毒传播的捕食食饵模型在Neumann边界条件下正常数解的稳定性,给出了解的上下界,并利用能量方法给出了非常数正解不存在的条件,即在此条件下不会发生病毒感染。 The stability of the positive constant solution of the predator-prey model with Allee effect and epidemic transmission under Neumann boundary condition is discussed.Moreover,nonexistence condetions for non-constant positive solution are given.
作者 权利娜
出处 《计算机工程与应用》 CSCD 北大核心 2011年第22期44-47,共4页 Computer Engineering and Applications
基金 国家自然科学基金No.10571115 陕西省自然科学基础研究资助项目(No.2007A11)~~
关键词 Allee影响 正平衡态 稳定性 Allee effect positive steady-states stability
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参考文献8

  • 1Su M, Hui C, Zhang Y Y.Spatiotemporal dynamics of the epi- demic transmission in a predator-prey system[J].Bulletin of Mathematical Biology,2008,70:2195-2210.
  • 2Beree L, Boukal D S, Beree M.Linking the Allee effeet, sexual reproduction, and temperature-dependent sex determination via spatial dynamics[J].Am Nat,2001,157:217-230.
  • 3Mareos L, Julio M.On the dynamics of a ratio dependent predator-prey System with diffusion and delay[J].Diserete and Contin- uous Dynamical Systems-Series B,2006,6:1321-1338.
  • 4Wang M X.Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and dif- fusion[J].Physiea D, 2004,196: 172-192.
  • 5Lou Y, Ni W M.Diffusion, self-diffusion and cross-diffusion[J].J Differential Eqtiafions, 1996,131 : 79-131.
  • 6Lin C S,Ni WeiMing, Takagi.Large amplitude stationary solution to a ehemotaxis system[J].J Differential Equations, 1988, 72:1-27.
  • 7Smoller J.Shock waves and reaction-diffusion equations[M].2nd ed. New York: Springer-Verlag, 1994.
  • 8Henry D.Geometric theory of semilinear parabolic equations[M]// Lecture Notes in Mathematics.New York:Springer-Verlag, 1993.

同被引文献35

  • 1钟承奎,范先令,陈文原.非线性泛函分析引论.兰州:兰州大学出版社,2004.
  • 2Su M,Hui C,Zhang Y Y.Spatiotemporal dynamics of the epidemic transmission in a predator-prey system.Bulletin of Mathematical Biology,2008;70:2 195-2 210.
  • 3Berec L,Boukal D S,Berec M.Linking the Allee effect,sexual reproduction,and Temperature-dependent sex determination via spatial dynamics.Am,Nat,2001;157:217-230.
  • 4Lin C S,Ni W M.Large amplitude stationary solution to a chemotaxis system.J Differential Equations,1988;72:1-27.
  • 5Lou Y,Ni W M.Diffusion,self-diffusion and cross-diffusion.Differential Equations,1996;131:79-131.
  • 6Wang M X.Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion.Physica D,2004;196:172-192.
  • 7Smoller J.Shock waves and reaction-diffusion equations,(Second Edition).New York:Springer-Verlag,1994.
  • 8Henry D.Geometric theory of semilinear parabolic equations.Lecture Notes in Mathematics.Berlin,New York:Springer-Verlag,1993:840.
  • 9Rabinowita P H.Some global result for nolinear eigenvalue problems.J Funct Anal,1971:487-513.
  • 10叶其孝,李正元.反应扩散方程引论[M].北京:科学出版社,2011.

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