期刊文献+

一类带有HollingⅡ的广义logistic方程的局部分支

A Local Bifurcation of the Generalized logistic Equation with the Holling Ⅱ Typical Function
下载PDF
导出
摘要 讨论了定义在封闭区域上的一类带有HollingⅡ的广义logistic方程,得到了参数μ的估计以及解所发生的局部分歧结果. In this paper, a logistic equation with the Holling Ⅱ typical function defined on a close domain is discussed, and the estimate of the parameter μ and the local bifurcation result of the solution are gained.
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2011年第5期3-4,7,共3页 Natural Science Journal of Harbin Normal University
基金 黑龙江省教育厅科学技术研究项目(12521153)
关键词 LOGISTIC方程 局部分歧 Logistic equation The local bifurcation
  • 相关文献

参考文献5

  • 1Cantrell, Robert Stephen, Cosner, Chris. Diffusive logistic e- quations with indefiniteweights: population models in disrup- ted environments. Proc Roy Soc Edinburgh Sect. A 1989, 112 (3 -4) :293 -318.
  • 2Crandall, Michael G, Rabinowitz, Paul H. Bifurcation from simple eigenvalues. J Functional Analysis, 1971, ( 8 ) : 321 - 340.
  • 3Du Yihong, Huang Qingguang. Blows -up solutions for a class of semilinear elliptic andparabolie equations. Siam J Math A- nal, 1999,31(1) :1 -18.
  • 4Shi Junping, Shi Vaji. Ratnasingham, Persistance in reaction diffusion models with weak Allee effect. Jour Math Biol, 2006,52(6) :807 -829.
  • 5张昕,王金凤,史峻平,王玉文.一类具有一般形式的生物捕食模型的动力学性质[J].哈尔滨师范大学自然科学学报,2009,25(2):28-30. 被引量:4

二级参考文献5

  • 1Hsu, Sze - Bi, Shi, Junping. Relaxation oscillator profile of limit cycle in predator- prey system. Submitted to Nonlinearity, 2008.
  • 2Cheng, Kuo Shung. Uniqueness of a limit cycle for a predator - prey system. SIAM J. Math. Anal. , 1981,12 (4) : 541-548.
  • 3Stephen Wiggins. Introduction to applied nonlinear dynamical systems and chaos. Texts in Applied Mathematics. 2. Springer -Verlag, New York, 1990.
  • 4Hsu, S. B. On global stability of a predator - prey system. Math. Biosci.,1978,39(1-2): 1-10.
  • 5Hsu, Sze - Bi. A survey of constructing Lyapunov functions for mathematical models in population biology. Taiwancse J. Math. ,2005,9(2) :151 - 173.

共引文献3

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