摘要
该文研究了时滞对一个带Neumann边值的捕食者-食饵的反应扩散系统的影响.通过对特征根的分析,讨论了非负平衡解的稳定性和Hopf分支的存在性.应用规范型方法和中心流形理论,文章讨论了Hopf分支周期解的稳定性和分支方向。
A delayed diffusive predator-prey system with Ivlev-type predator functional re- sponse subject to Neumann boundary conditions is considered. The stability of nonnegative equilibria and existence of Hopf bifurcation are obtained by analyzing the distribution of the eigenvalues. By the theory of normal form and center manifold, an explicit algorithm for de- termining the stability and direction of periodic solution bifurcating from Hopf bifurcation is derived.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2014年第2期234-250,共17页
Acta Mathematica Scientia
基金
国家自然科学基金(11031002
11201096)
教育部高校博士点基金(20122302110044)资助
