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具有年龄结构的种群模型平衡解的稳定性 被引量:3

Stability of Equilirium Solution for Age Structured Populations Model
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摘要 本文考虑具有年龄结构的种群动力系统模型,讨论系统具有多个平衡解时其解的渐近性质,最后给出了其平衡解中那些是稳定的,哪些是不稳定的. This paper considers a model for the dynamics of an age structured Population sys-tems,discusses the asymptotic stabillity of the systems and gives that which are asymptotically stable and which are unstable.
出处 《生物数学学报》 CSCD 1997年第S1期403-410,共8页 Journal of Biomathematics
基金 河南省自然科学基金
关键词 年龄结构种群 平衡解 稳定性 :Aga structured population,equilibrium solution,stability
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参考文献1

  • 1Gabriella Blasio,Mimmo Iannelli,Eugenio Sinestrari. Approach to equilibrium in age structured populations with an increasing recruitment process[J] 1982,Journal of Mathematical Biology(3):371~382

同被引文献11

  • 1黄厚本,林有浩,冯德兴.非线性种群增长方程的半群解[J].数学物理学报(A辑),1989,9(1):59-65. 被引量:2
  • 2[3]Webb, G. F. A Semigroup Proof of the Sharpe- Lotka Theorem[ A]. The International Conference on Operator Semigroup and Applications[C]. Austria, 1983. 254~268.
  • 3[5]Chen Renzhao, Gao Hang. Lyapunov's Stability of Time - varying Population Systems[J].Science in China (Series A),1990,33(8) :909~919.
  • 4[7]Webb, G. F. Theory of Nonlinear Age- dependent Population Dynamics [ M]. New YorK: Marcel Dekker, 1985.
  • 5[12]Yosida, K. Functional Analysis (6th Edition)[M]. Springer-Verlag. Beijing: World Publishing Corporation, 1993.
  • 6[13]Harbin, G. The Tragedy of the Commons[J ]. Science 162. 1968,1243~1247.
  • 7高海音 王克.Gompertz系统的捕获问题[J].生物数学学报,1998,13(5):791-793.
  • 8G Di blasio, M Iannelli, E Sinestrari. Approach to equilibrium in age structured populations with an increasing recruitment process[J]. J Math Biol, 1982, 13: 371-382.
  • 9G Di blasio. Asymptotic behavior of an age stuctured fish population[J]. Comp & Maths with Appl, 1983, 3377-383.
  • 10祁传达,宋新宇.具有非线性积分边界的鱼群系统的稳定性[J].信阳师范学院学报(自然科学版),1997,10(2):5-9. 被引量:1

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