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

机译：免疫反应的周期解和概周期解的存在性和稳定性Marchuk Marchuk模型

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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.

机译：Marchuk模型是免疫系统中的经典模型之一，在医学领域具有广泛的应用。本文采用上下解的方法，提出了存在比较定理。给出了周期解和几乎周期解的存在性和唯一性，并通过比较方法和积分估计来说明这些解的全局稳定性。

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《International congress on mathematical biology;ICMB2011》|2011年|p.684-689|共6页
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Cheng Cui; Xiao Wang; Ting Liu; Anping Liu;
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中图分类数学生物物理学;数学生物物理学;数学生物物理学;
关键词
Coupled upper and lower solutions; Periodic solutions; Almost periodic solutions; Global stability;

机译：上下解耦合;周期解;几乎周期解;全局稳定性;

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1. On Hopf Bifurcation and Periodic Solutions in G.I.Marchuk Model of Immune Protection [J] . V.P. MARTSENYUK Journal of automation and information sciences . 2003,第5a8期

机译：G.I.Marchuk免疫保护模型中的Hopf分叉和周期解
2. Stability and bifurcations for the chronic state in Marchuk's model of an immune system [J] . Fory? U. Journal of Mathematical Analysis and Applications . 2009,第2期

机译：Marchuk免疫系统模型中慢性状态的稳定性和分支
3. Existence　and　Stability　for　Periodic　Solution　of　Competition　Reaction－Diffusion　Models　with　Grazing　Rates　in　Population　Dynamics [J] . 系统科学与系统工程学报（英文版） . 1996,第004期

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4. Existence and Stability of Periodic Solutions and Almost Period Solutions of Immune Reaction Marchuk Marchuk’s Model [C] . Cheng Cui, Xiao Wang, Ting Liu, International congress on mathematical biology . 2011

机译：周期性溶液的存在与稳定性，但近期免疫反应的溶液Marmuk Marchuk模型
5. Existence and stability of stationary solutions for the general nonisentropic hydrodynamic semiconductor models. [D] . Li, Yeping. 2005

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6. Existence and exponential stability of positive almost periodic solution for Nicholson’s blowflies models on time scales [O] . Yongkun Li, Bing Li -1

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7. Solution of the Marchuk model of infectious disease and immune response [O] . Adomian G., Adomian G.E. 1986

机译：马尔科克传染病和免疫反应模型的求解

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

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