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一类带有扩散的三种群捕食系统的定性分析 被引量：2

Qualitative analysis of a diffusive three species predator-prey system
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摘要 考虑了一类具有扩散项的三种群捕食系统,其中两个捕食者捕获同一种食饵.该模型带有齐次Neumann边界条件.首先讨论了系统的全局吸引性,然后分别运用线性化方法和Lyapunov函数方法讨论了系统唯一正常数平衡态的局部稳定性和全局稳定性. A diffusive three species predator-prey system under homogeneous Neumann boundary conditions were studied, in which the two predators consumed the common prey. Firstly, the global attractivity of this system was discussed. Then the local/global asymptotic stability of positive constant equilibria was studied by using the method of linearization and Lyapunov function respectively.
作者 史红波
机构地区 淮阴师范学院数学科学学院 兰州大学数学与统计学院
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期89-92,共4页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(10801065)
关键词 捕食系统 扩散 全局吸引性 稳定性 predator-prey system diffusion global attractivity stability
分类号 O175.25 [理学—基础数学]
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参考文献14

  • 1BERRYMAN A A. The origins and evolution of predator-prey theory[J]. Ecology, 1992. 73(5):1 530-1 535.
  • 2ARMSTRONG R A, MCGEHEE R. Competitive exclusion[J]. Am Nat 1980, 115(2): 151-170.
  • 3CANTRELL R S, COSNER C, RUAN S G. Intraspecific interference and consumer-resource dynamics[J]. Dis Con Dynam Syst B, 2004, 4(3): 527-546.
  • 4HSU S B, HUBBELL S P, WALTMAN P. Competing predators[J]. SIAM J Appl Math, 1978, 35(4): 617-625.
  • 5HIxoN M A, JONES G P. Competition, predation, and density-dependent mortality in demersal marine fishes[J]. Ecology, 2005, 86(11):2847-2859.
  • 6RUAN S G, RICCIARDI A A P, DEANGELIS D L. Coexistence in competition models with density- dependent mortality[J]. C R Biologies, 2007, 330(12): 845-854.
  • 7HEI L J, Yu Y. Non-constant positive steady state of one resource and two consumers model with diffusion[J]. J Math Anal Appl, 2008, 339(1): 566-581.
  • 8KO W, AHN I. Analysis of ratio-dependent food chain model[J]. J Math Anal Appl, 2007, 335(1): 498-523.
  • 9PENG R, SHI J P, WANG M X. Stationary pat. tern of a ratio-dependent food chain model with diffusion[J]. SIAM J Appl Math, 2007, 67(5): 1 479-1 503.
  • 10LIN Z G, PEDERSON M. Stability in a diffusive foodchain model with Michaelis-Menten functional response[J]. Nonlinear Anal, 2004, 57(3): 421--433.

同被引文献20

  • 1周盛华,刘署云.时滞非自治的捕食者一食饵系统的持续性和全局稳定性[J].北京工业大学学报,2007,33(8):874-877. 被引量：1
  • 2Ayala F J.Experimental invalidation of the principle of competitive exclusion[J].Nature,1969,224(2):1076-1079.
  • 3Armstrong R A,Mcgehee R.Competitive exclusion[J].Am Nat,1980,115(2):151-170.
  • 4Mc Gehee R,Armstrong R A.Mathematical problems concerning the ecological principle of competitive exclusion[J].J Differ Equat,1977,23(1):30-92.
  • 5Hixon M A,Jones G P.Competition,predation,and density dependent mortality in demersal marine fishes[J].Ecology,2005,86(11):2847-2859.
  • 6Holbrook S J,Schmitt R J.Competition for Shelter space causes density-dependent predation mortality in damselfishes[J].Ecology,2002,83(10):2855-2868.
  • 7Grognard F,Mazenc F,Rapaport A.Polytopic lyapunov functions for persistence analysis of competing species[J].Dis Con Dynam Syst,2007,8(1):73-93.
  • 8VLobry C,Harmand J.A new hypothesis to explain the coexistence of n species in the presence of a single resource[J].C R Biologies,2006,329(1):40-46.
  • 9Lobry C,Rapaport A,Mazenc F.Sur un modèle dènsite-de pèndent de competition pourune ressource[J].C R Biologies,2006,329(2):63-70.
  • 10Lou Y,Ni W M.Diffusion,self-diffusion and cross-diffusion[J].Journal of Differential Equations,1996,131(1):79-131.

引证文献2

兰州大学学报（自然科学版）
2010年 第5期

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