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具有扩散的年龄阶段结构捕食模型的渐近性

Asymptotic Behaviors of A Stage-structured Predator System with Dispersal
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摘要 研究一类2种群都具有扩散的捕食-被捕食系统年龄阶段结构模型.首先通过构造Lyapunov泛函证明了惟一正平衡态的局部渐近稳定性,再利用方程组的比较原理给出正平衡态全局渐近稳定的充分条件. A two-species species have dispersal. following, by using the the positive equilibrium predator-prey stage structure model with dispersal is investigated. Both of the two It is shown that the unique positive equilibrium is asymptotic stability. In the comparison theorem, the sufficient conditions for the global asymptotic stability of are obtained.
作者 黄利航 冯有前
机构地区 空军工程大学理学院
出处 《宁夏大学学报（自然科学版）》 CAS 北大核心 2010年第1期26-30,共5页 Journal of Ningxia University(Natural Science Edition)
基金 陕西省自然科学基金资助项目(SJ08F10)
关键词 阶段结构 捕食-被捕食模型 全局渐近稳定性 扩散 stage structure predator-prey model globally asymptotically stable dispersal
分类号 O175.13 [理学—基础数学]
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参考文献10

  • 1AIELLO W G, FREEDMAN H I. A time-delay model of single-species growth with stage structure [J]. Mathematical Biosciences, 1990, 101 : 139-153.
  • 2CAO Y L, FAN J P, GARD T C. The effects of state-dependent time delay on a stage-structured popu- lation growth model[J].Nonlinear Analysis: Theory, Methods and Applications, 1992, 19(2) : 95-105.
  • 3ZAGHROUT A A S, ATTALAH S H. Analysis of a model of stage-dependent time delay [J].Applied Mathematics and Computation, 1997,77 : 185-194.
  • 4HUO H, LI W, AGARWAL R P. Optimal harvesting and stability for two species stage-structured system with aennibalism[J]. International Applied Mathematics, 2001,6:59-79.
  • 5TANG S Y, CHEN L S. Density-dependent birth rate, birth pulses and their population dynamic consequences[J]. Journal of Mathematical Biology, 2002,44 : 185-199.
  • 6LEVIN S A. Dispersion and populatin interactions [J]. The American Naturalist, 1973,54:315-325.
  • 7HASTINGS A. Global stability in Lotka-volterra systems with diffusion[J]. Journal of Mathematical Biology, 1978, 6:163-168.
  • 8LU Z, CHEN L S. Global attractivity of nonautonomous inshore-offshore fishing models with stage-structure[J].Appliable Analysis, 2002, 81:589-605.
  • 9SONGXinyu,CHENLansun.UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION[J].Journal of Systems Science & Complexity,2002,15(3):307-314. 被引量：7
  • 10SONG X Y, CHEN L S. Optimal harvesting and stability for a two species competivite system with stage structure[J].Mathematical Biosciences, 2001,170: 173-186.

二级参考文献11

  • 1S. A. Levin, Dispersion and population interactions, The Amer. Naturalist, 1973, 54(2): 315-325.
  • 2S. A. Levin and L. A. Segel, Hypothesis to explain the origin of planktonic patchness, Nature, 1976,259: 659.
  • 3S. A. Levin, Spatial patterning and the structure of ecological communities, In Some Mathematical Questions in Biology, Ⅶ, American Mathematical Society, Providence, 1976.
  • 4A. Hastings, Global stability in Lotka-Volterra systems with diffusion, J. Math. Biol., 1978, 163-168.
  • 5Y. Takeuchi, Global stability in generalized Lotka-Volterra diffusion system, J. Math. Anal. Applic., 1986, 116: 209-221.
  • 6J. K. Hale and P. Waltrnan, Persistence in infinite-dimensional system, SIAM J. Math. Anal.,1989, 20: 388-395.
  • 7P. Waltman, A Brief Survey of Persistence in Dynamical System, Edited by S. Busenberg and M.Martelli, pp. 31-40, Springer, Berlin, 1991.
  • 8W. Wang and Z. Ma, Harmless delays for uniform persistence, J. Math. Anal. Appl., 1991, 158:256-268.
  • 9Z. Lu and Y. Takeuchi, Permanence and global attractivity for competitive Lotka-Volterra systems with delay, Nonlin. Anal. Th. Meth. Appl., 1994, 22(7): 847-856.
  • 10X. Song and L. Chen, Persistence and periodic orbits for two-species predator-prey system with diffusion, Canadian Appl. Math. Quarterly, 1998, 6(3): 233-244.

共引文献6

宁夏大学学报（自然科学版）
2010年 第1期

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