A dynamic model of the initial innate system response to a lung infection is considered.firstly,the condition that the model has a positive equilibrium point is obtained based on the discriminant of the roots of the cubic polynomial equa-tion,secondly,the specific type of positive equilibrium point of the model and the stability of the positive equilibrium point un-der the condition are discussed by using the theory of the equilibrium point stability and the theorem of the central manifold,and finally,the emergence of a saddle-node branching at the equilibrium point is considered.
关键词
肺部感染模型/稳定性/正平衡点
Key words
pulmonary infection/stability/positive palance point