【摘要】 建立并分析了一个具有多时滞的疾病在食饵和捕食者中都染病的捕食被捕食模型.首先得到了边界平衡点及正平衡点存在的条件,然后利用特征根法得到含有多时滞的非线性特征方程,通过讨论得到平衡点局部渐近稳定的充分条件,研究了各平衡点是否可以出现Hopf分支现象.数值模拟也验证了理论分析.更多还原

【Abstract】 A delayed prey-predator system with disease in prey and predator was investigated. First the sufcient conditions for the existence of the positive equilibrium point and the infection-free equilibrium point were acquired, and then the nonlinear characteristic equation was acquired using the method of characteristic roots. Next the sufcient conditions that the equilibrium points are local asymptotically stability were obtained.Furthermore the Hopf bifurcation behavior of the equilibrium point time was discussed. At last some numerical simulations were carried out to support the theoretical analysis of the research.更多还原