期刊文献+

具有扩散和比率依赖的三种群混合模型的分析 被引量:7

ANALYSIS FOR THREE-SPECIES MIXTURE MODEL WITH DIFFUSION AND RATIO-DEPENDENCE
原文传递
导出
摘要 本文讨论了捕食者具有比率依赖的功能性反应,食饵与另一种群竞争且自身可以 扩散的混合模型.证明了系统一致持久与扩散有关,而且得到了系统存在全局吸引周期 解的充分条件. In this paper, a nonautonomous mixture model is studied. Where the predator function response is of ratio-dependent type, the prey species can disperse between two-patches and compete with the third species in one patch. It is shown that the system is uniformly and persistently related to the dispersion rate. Furthermore, the sufficient conditions are obtained for the global asymptotic stability of a periodic solution of the system.
出处 《系统科学与数学》 CSCD 北大核心 2005年第1期87-95,共9页 Journal of Systems Science and Mathematical Sciences
基金 山西省青年科学基金(20021004)资助课题.
关键词 功能性反应 一致持久 全局吸引 充分条件 周期解 扩散 证明 食饵 种群 捕食者 Ratio-dependent function response, uniform persistence, global asymptotic stability.
  • 相关文献

参考文献7

  • 1徐瑞,陈兰荪.具有时滞和基于比率的三种群捕食系统的持久性与全局渐近稳定性[J].系统科学与数学,2001,21(2):204-212. 被引量:85
  • 2Song Xinyu, Chen Lansun. Conditions for global attractivity of n-patches predater-prey dispersiondelay models. J Math Anal Appl, 2001, 253: 1-15.
  • 3Beretta E and Solimano F. Global stability and periodic orbits for two patch predator-prey diffusion delay model. Math Biosci , 1987, 85: 152-183.
  • 4Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Academic Press, New York. 1993.
  • 5Arditi R, Ginzbury L R and Akcakaya H R. Variation in plankton densities among lakes: A case for ratio-dependent model. American Nat , 1991, 138: 1287-1296.
  • 6Xu Rui and Chen Lansun. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. Comp Math Appl , 2000, 40: 577-588.
  • 7Cui Jingan and Chen Lansun. The effect of diffusion on the time varying logistic population growth. Computers Math Applic , 1998, 36(3): 1-9.

二级参考文献4

  • 1Kuang Y,J Math Biol,1998年,36卷,389页
  • 2He X Z,J Math Anal Appl,1996年,198卷,355页
  • 3Kuang Y,Delay Differential Equations with Applications in Population Dynamics,1983年
  • 4Kuang Y

共引文献84

同被引文献37

引证文献7

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部