【摘要】 比较深入地研究了免疫系统的 Marchuk模型的解的性态。以时滞 τ为参数 ,利用解析的方法分析了 Marchuk模型平衡点的稳定性 ,不仅得到了在平衡点处产生稳定性和 Hopf分支的充分条件 ,而且得到了平衡点稳定性的存在范围 ,是对现有结果的改进和推广。更多还原

【Abstract】 We study the properties of the solution in Marchuk′s model of immune system. In much detail,using time lag τ as a parameter and using analytical method,we analyse the stability and Hopf bifurcation of the equilibriums in Marchuk′s model. The result we obtained are constant conditions of stability and the even conditions of the occurrence of hopf bifurcation. We also obtain the limits of the stability of the equilibrium. The outcome of reference is one that shown great improvement to the outcome which is in existence.更多还原