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一类三种群功能性反应捕食-食饵模型的持久性和绝灭性研究

Permanence and extinction of a three species predator-prey system
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摘要 首先修正了文[1]提出的一类三种群功能性反应捕食-食饵模型,其后利用微分方程比较原理得到了一组保证该系统的持久性以及捕食者种群的绝灭性的充分性条件. We first correct a predaor - prey model proposed by Lin Guojian and Hong Yiguang[ 1 ], after that, by applying the comparison theorem of differential equation, a set of sufficient condition is obtained which ensure the permanence of the system, we also investigate the extinction of the predator species.
作者 伍慧玲
出处 《商丘师范学院学报》 CAS 2008年第12期24-28,共5页 Journal of Shangqiu Normal University
基金 国家自然科学基金(0501007)资助项目 福建省高等学校新世纪优秀人才资助计划项目(0330-003383)
关键词 捕食 食饵 功能性反应 持久 绝灭 predator prey functional response permanence extinction
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参考文献8

  • 1Lin Guo jian, Hong Yiguang. Periodic solutions in non - autonomous predator prey system with delays [ J ]. Nonlinear Analysis : Real World Application, in press.
  • 2Sun Wen, Shihua Chen, Huihai Mei. Positive periodic solution of a more realistic three - species Lotka - Volterra model with delay and density regulation [ J ]. Chaos, Solitions and Fractals, in press.
  • 3Chen Fengde. Average conditions for permanence and extinction in nonautonomous Gilpin - Ayala competition model [ J ]. Nonlinear Analysis : RealWorld Applications, 2006,7 ( 4 ) : 895 - 915.
  • 4Chen Fengde, Xie Xiangdong. Permanence and extinction in nonlinear single and muhiple species system with diffusion[ J]. Applied Mathematics and Computation ,2006,177 ( 1 ) :410 - 426.
  • 5Chen Fengde, Shi Jinlin. On a delayed nonautonomous ratio - dependent predator - prey model with Holling type functional response and diffusion[ J]. Applied Mathematics and Computation ,2007,192 (2) :358 -369.
  • 6Chen Fengde. On a nonlinear nonautonomous predator -prey model with diffusion and distributed delay[ J]. Journal of Computational and Applied Mathematics ,2005,180( 1 ) :33 -49.
  • 7Chen Fengde, LI Zhong, Huang Yunjin. Note on the permanence of a competitive system with infinite delay and feedback controls [ J ]. Nonlinear Analysis : Real World Applications, 2007,8 (2) : 680 - 687.
  • 8Chair Ahmad. On the nonautonomous Volterra - Lotka competition equations [ J ]. Proceeding of the American Mathematical Society, 1993,117 : 199 - 204.

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