一类先天免疫应答模型的稳定性分析

Stability Analysis of a Class of Innate Immune Response Models

主要研究了一类关于病原体与中性粒细胞(PMNs)之间的相互作用的免疫应答模型.首先讨论了该模型边界平衡点的存在条件;其次,通过Poincare′变换与中心流形理论证明了该模型边界平衡点的全局渐近稳定性;最后,利用MATLAB软件包对得到的结论进行了适当的数值模拟.

This paper mainly studies a class of immune response model about the interaction between pathogens and neutrophils(PMNs).Firstly,the existence conditions of the boundary equilibrium point of the model are discussed.Secondly,the global asymptotic stability of the boundary equilibrium point of the model is proved through Poincare’transformation and center manifold theory.Finally,MATLAB software package is used to simulate the results.