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具有功能反应项的捕食模型非负常数平衡解的稳定性 被引量：2

Stability of Non-negative Constant Steady-state Solution for Predator-prey Model with Holling-type III Founctional Response
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摘要 研究了一类带Holling-III反应项的捕食模型在Neumman边界条件下非负常数平衡态解的一致渐近稳定性.利用比较原理,算子谱理论,得到了非负常数解(a/b,0)及正常数平衡态解(u,v)的一致渐近稳定性.说明该捕食模型中参数在一定变化范围内正常数解(u,v)处不可能产生非常数正共存解. Global asymptotic stability of non-negative constant steady-state solution for predator-prey model with Holling-type Ⅲ founctional response and Neumman boundary condition is studied. Some global asymptotic stability of non-negative constant solution and non-negative constant positive constant steady-state solution are obtained by comparison principle and operator spectrum theory. In the paper,it is pointed that some non-constant positive conexistent solution is impossible bifurcate on some range of arameters.
作者 冯孝周 马晓丽 张永锋
机构地区 西安工业大学数理系
出处 《西安工业大学学报》 CAS 2010年第1期87-90,共4页 Journal of Xi’an Technological University
基金 陕西省教育厅基础研究计划项目(09JK480) 西安工业大学校长基金(XAGDXJJ0803)
关键词 Holling—Ⅲ反应项 捕食模型 稳定性 正常数平衡态解 Holling-type Ⅲ founctional response predator-prey model stability positive constant steady-state solution
分类号 O175.26 [理学—基础数学]
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参考文献10

  • 1Chen J P. The Qualitative Analysis of Two Species Predator-prey Model with Holling Type Functional Response[J]. Appl Math Meeh, 1986,71 : 73.
  • 2Holling C S. The Functional Response of Predators to Prey Density and Its Role in Mimicry and Populations[J].Mem Entomol Soc Can, 1965,45 : 3.
  • 3Cohen D Set al. Nonlinear Boundary Value Problems Suggested by Chemical Reactor Theory[J]. Journal of Differential Equations, 1970 (7) : 217.
  • 4Dancer E N. A Counter Example of Competing Species Equations[J]. Diff Integ Eqns, 1996 (9) : 239.
  • 5Delgabo M, Lopez-Gomez J, Suarez A. On the Dyboiotic Lotka- Volterra Model with Diffusion and Transport Effects[J]. J Diff Eqns, 2000,160 : 175.
  • 6Ermentrout B. Strips ea Sports Nonlinear Effects in Bifurcation of Reaction Diffudion Equation on the Square[J]. Proc R Soc Lond,1991, 434(A),413.
  • 7Du Y H, Lou Y. Some Uniqueness and Exact Multiplicity Results for a Predator-prey Model[J].Trans Amer Math Soc,1997,349:2443.
  • 8Du Y H, Lou Y. Qualitative Behavior of Positive So-lutions of a Predator-prey Model Effects of Saturation[J]. Proc R Soe Edinb, 2001,131(A):321.
  • 9Ye Q X et al. Intoduction to Reaction-diffusion E-quations[M]. Beijing: Scientific Press, 1990.
  • 10Henry D. Geometric Theory of Semilinear Parabolic Equations[M]. New York: Springer-verlag, 1993.

同被引文献21

  • 1Chen J P. The qualitative analysis of two species predator-prey model with Holling type Ⅲ functional response[ J ]. Appl Math Mech, 1986,71:73-80.
  • 2Holling C S. The functional response of predators to prey density and its role in mimicry and populations [ J ]. Mem Entomol Soc Can, 1965,45:53-60.
  • 3Kan Y. Existence and instability of Neumann layer solutions for a 3-Component Lotka-Voherra model with diffusion [ J]. J Math Analysis Applic ,2000,243:357-372.
  • 4Ye Q X. Introduction to reaction-diffusion equations[ M ]. Beijing:Scientic Press, 1990( in chinese).
  • 5Kan-on Y. Singular perturbation approach to a 3-component reaction-diffusion system arising in poulation dynamics [ J ]. Siam J Math Analisis Applic, 1998,29 : 1519-1536.
  • 6Wu J H. Stability and persistence for prey-predator model[ J ]. Chin Sci Bull, 1998,43:2237-2238.
  • 7Henry D. Geometric theory of semilinear parabolic equations[ J ]. Lecture Notes in Mathematics, 1993.
  • 8Pang P Y. Strategy and stationary pattern in a three-species predator-prey model[ J]. J Differential Equations,2004, 200:245 -273.
  • 9Wang M X. Non-constant positive steady states of the Sel' kov model[ J]. J Differential Equations, 2003,190:600- 620.
  • 10Wang M X. Stationary patterns of strongly coupled prey-predator models [ J ]. J Math Anal Applic, 2004,292 : 484- 505.

引证文献2

二级引证文献4

西安工业大学学报
2010年 第1期

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