一类周期模型的周期解及次调和分歧的存在性  

The Existence of Periodic Solution and Subharmonic Bifurcation of a Periodic Model

作　　者：李红武[1] 何一农[1] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《应用数学》2013年第2期258-267,共10页Mathematica Applicata

摘　　要：本文建立一类病菌与免疫系统竞争的周期模型,利用重合度理论及Lyapunov稳定性理论分别证明模型周期解的存在性及稳定性,并讨论次调和分歧的存在性.This bacteria and immun theory, the existenc the existence of the paper formulates a periodic model to describe the competition between e system. Then, by using the coincidence degree theory and the Lyapunov e and stability of the periodic solution are proved,respectively. And then, subharmonic bifurcation is discussed.

关 键 词：周期解 稳定性 次调和分歧 时滞 免疫 

分 类 号：O175[理学—数学]