【摘要】 在考虑和不考虑环境干扰的情况下对带有饱和传染率的候鸟模型分别进行了讨论.得到了确定系统的解的有界性及平衡点的稳定性,同时,通过构造Lyapunov函数,给出了随机系统内部平衡点的指数稳定性.研究得到,当把干扰强度控制在一定的阈值之下时,在确定系统中使用的控制策略在随机系统中同样适用.更多还原

【Abstract】 A model with saturation incidence rate for migratory birds was proposed.It was researched both in the absence and in the presence of environmental disturbances.In the deterministic system,the boundedness of the solution and the stability of equilibriums of the system were obtained.Moreover,in consideration of the environmental disturbances,by constructing the Lyapunov function,it was observed that the interior equilibrium of the stochastic system was exponentially stable.By observations,it is illustrated that if the indensity of the stochastic perturbations is kept under a certain threshold value,the control procedure obtained in the deterministic system is also effective in the stotastic model.更多还原