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一类具功能反应食饵-捕食系统的定性分析 被引量:2

A Qualitative Analysis of a Kind of Predator-Prey Systems with Functional Response
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摘要 对一类具有功能反应函数的食饵—捕食系统进行定性分析,得到了该系统崩溃,趋于平衡态,存在唯一极限环存在的条件. A qualitative analysis of a model of the predator-prey system with functional response is studied.The conditions for extinction,going to equilibrium,and uniqueness and existence of limit cycles of the system are completely obtained.
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第4期366-368,共3页 Journal of Inner Mongolia University:Natural Science Edition
关键词 食饵-捕食系统 平衡点 极限环 predator-prey models equilibrium point limit cycle
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  • 1Chen L. S., Mathematical models in biology and research methods, Beijing: Science Publishing House, 1988(in Chinese).
  • 2Chen L. J., Sun J. H., On the uniqueness of limit cycle for a class of predator-prey models with Holling functional response, Acta Math. Sinica, 2002, 45(2): 383-388 (in Chinese).
  • 3Kooij R. E., Zegeling A., Qualitative properties of two-dimensional predator-prey systems, Nonl. Anal. TMA,1997, 29: 693-715.
  • 4Zhang Z. F., et al., Qualitative theory of differential equations, Trans. Math. Monogr. 66, Amer. Math. Soc.Providence, R. 42 I., 1986.
  • 5Ye Y. Q., Qualitative theory of polynomial differential systems, Shanghai: Shanghai Sci. and Tech. Publ.,1995.
  • 6李万同.一类n次Kolmogorov系统的极限环[J].应用数学,1992,5(2):13-17. 被引量:21

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