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自治HollingⅢ类功能性反应的捕食-食饵系统的定性分析 被引量：10

On qualitative analysis of autonomous predator-prey systems with Holling type Ⅲ functional response
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摘要 对一类具有HollingⅢ类功能性反应的比率依赖型捕食 食饵系统进行了定性分析,详细考察了非负平衡点的 存在性、稳定性以及系统的非持久性等. A qualitative analysis is given for a ratio-dependent predator-prey system with Holling type Ⅲ functonal response.The existence and stability of nonnegative equilibria and the nonpersistence of the system are investigated.
作者 王琳琳
机构地区 天津大学数学系
出处 《西北师范大学学报（自然科学版）》 CAS 2005年第1期1-6,共6页 Journal of Northwest Normal University(Natural Science)
基金 南开大学天津大学刘徽应用数学中心基金(T33) 天津大学青年教师基金资助项目
关键词 平衡点 全局稳定性 持久性 equilibrium global stability permanence
分类号 O175.29 [理学—基础数学] O193 [理学—基础数学]
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参考文献19

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同被引文献50

  • 1黄利航,陈斯养.一类具有时滞的捕食与被捕食模型的Hopf分支[J].西北师范大学学报（自然科学版）,2004,40(4):12-18. 被引量：12
  • 2王郡.具有固定脉冲时刻的脉冲微分方程关于部分变元的稳定性[J].数学理论与应用,2004,24(3):70-74. 被引量：2
  • 3伏升茂,高海燕.捕食者-食饵三角交错扩散模型的整体解[J].西北师范大学学报（自然科学版）,2005,41(3):1-5. 被引量：3
  • 4Chen F D. Permanence in a discrete Lotka-Voherra competition model with deviating arguments [ J ]. Nonlinear Analysis:Real World Applications,2008 (9) :2 150 - 2 155.
  • 5Chen F D. Periodic solutions of a delayed predator-prey model with stage structure for predator[J]. Journal of Applied Mathematics, 2005(2) : 153 - 169.
  • 6Chen F D, Shi J I. 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.
  • 7Chen F D. Permanence and global stability of nonautonomous Lotka - Volterra system with Predator - prey and deviating arguments [ J ]. Appl Math Comput,2006,173 : 1 082 - 1 100.
  • 8Hassell M P, Comins H N. Discrete time models for two- species competition[J]. Theoret Populat Biol, 1976(99) :202 -221.
  • 9Jiang H, Rogers T D. The discrete dynamics of symmetric competition in the plane[J]. Math Biol,1987 (25) :573 -596.
  • 10Saito Y, Ma W, Hara T. A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays [ J ]. Math Anal Appl,2001 (256) : 162 - 174.

引证文献10

二级引证文献22

西北师范大学学报（自然科学版）
2005年 第1期

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