中文摘要：

考虑病菌的群体感应机理建立了一类人体免疫细胞与病菌竞争的时滞微观动力学模型,并综合运用Liapunov稳定性理论、中心流形定理及规范型理论等,讨论了无菌平衡点的局部及全局渐近稳定性,正平衡点的存在性、全局渐近稳定性无菌平衡点在奇异条件下的稳定性.

英文摘要：

To characterize the competition between immune cells and bacteria,a microcosmic dynamical model with delayed quorum sensing mechanism is constructed.According to the Liapunov staiblity theory,the center manifold theorem and the norm form theory,local and global stability of the bacteria free equilibrium,existence and globally asymptotical stability of the positive equilibrium,and stability of the nonhyperbolic bacteria free equilibrium are studied for any positive delay.