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一类捕食与被捕食系统的正解与持久性

Positive solutions and permanence of a class of predator-prey system
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摘要 利用泛函微分方程正解的比较原理、上下极限原理及分析技巧,研究了一类具Beddington-DeAngelis型功能反应的捕食-被捕食系统,获得该系统正解的存在性以及该系统持久性的充分条件. This paper studied a class of predator-prey models with Beddington-DeAngelis functional response by applying the comparison principle for positive solutions of functional differential equations, supper and lower limit principle and analytical techniques. Existence of positive solutions and sufficient conditions for the perrnancncc of this system are obtained.
出处 《湖南文理学院学报(自然科学版)》 CAS 2011年第2期1-4,共4页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 比较原理 Beddington-DeAngelis型功能反应 持久性 comparison principles Bcddington-DcAngelis functional response permanence
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参考文献4

  • 1Wang W, Mulone G, Salemi F, et al. Permanence and stability of a stage-structured predator-prey model[J]. J Math Anal Appl, 2001, 262: 499-528. 被引量:1
  • 2Smith H L. Monotone semiflows generated by functional differential equations[J]. J Differential Equations, 1987, 66: 420-422. 被引量:1
  • 3Holt R D. Population dynamics in two path environment: Some anomalous consequences of optional habitat selection[J]. Theoret Popul Biol, 1985, 28:181-208. 被引量:1
  • 4Smith H L. Monotone Dynamical Systems: An Introduc- tion to the Theory of Competitive and Cooperative Systems[J]. Math Surveys Monographs, 1995, 41: 30-32. 被引量:1

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