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一类结核菌感染的免疫系统-抗原模型研究

发表时间:2013-01-15  浏览量:2055  下载量:639
全部作者: 张培,张娟
作者单位: 华北电力大学数理学院
摘 要: 建立一类巨噬细胞与结核杆菌(Mycobacterium tuberculosis,MTB)相互作用的动力学模型。利用微分方程定性和稳定性理论分析模型的渐近性态,确定了各个平衡点的存在性和稳定性,证明了模型存在后向分支,并得到了出现后向分支的条件。
关 键 词: 应用数学;动力学模型;渐近性态;后项分支;结核杆菌;巨噬细胞
Title: Analysis of a tubercle bacillus immunity-antigen model
Author: ZHANG Pei, ZHANG Juan
Organization: Department of Mathematics and Physics, North China Electric Power University
Abstract: In this paper, the dynamics model was formulated to describe the interaction of Mycobacterium tuberculosis with macrophage cells. By the qualitative and stability theory of the differential equations, the asymptotic behaviors of the model were analyzed. The existence and stability properties of all equilibria points were determined. Furthermore, it was proved that the backward bifurcation existed in the model, and the conditions for backward bifurcation were obtained.
Key words: applied mathematics; dynamics model; asymptotic behavior; backward bifurcation; Mycobacterium tuberculosis; macrophage cell
发表期数: 2013年1月第1期
引用格式: 张培,张娟. 一类结核菌感染的免疫系统-抗原模型研究[J]. 中国科技论文在线精品论文,2013,6(1):47-53.
 
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