Existence and Stability of Periodic Solutions and Almost Period Solutions of Immune Reaction Marchuk Marchuk’s Model

摘要：

Marchuk model is one of the classical models in immune system , which has extensive applications to medical sciences. In this paper, the existence - comparison theorem is proposed by using the method of upper and lower solutions. The existence and uniqueness of periodic solution and almost periodic solution is given and the global stability for these solutions was illustrated through the comparison method and integral estimate for the solutions.

关键词： Coupled upper and lower solutions Periodic solutions Almost periodic solutions Global stability

作者: Cheng Cui Xiao Wang Ting Liu Anping Liu

作者单位: College of Mathematical and Physical Sciences,China University of Geosciences,Wuhan, Hubei 430074,China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 684-689

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）