摘要
通常的Logistic方程为百dN/dt=N(b—cN)(1．1)对于正的常数b和c，有一个非零的稳定平衡点b／c，由初等积分知，(1．1)的任一初值问题的解趋于b／c，当t→+∞，Logistic方程一般认为是一种纯粹性描述方程，N是在时刻t的种群密度，b是内禀增长率，b／c是容纳量，主要是指在没有捕食作用下食饵所达的平衡密度，
J.M.Gushing summed up the logistic equation to the general functional differential equation in article[2]:In this article this kind of equation is further studied and summed up to the following differential equation:Its positive periodic solution stability and other characters are inquired into. It is proved in article(2)that there is positive periodic solution in equation:We prove its uniquene and shov the clear expressed form, when t→ + ∞, any other solution is gradually approaching its periodic solution.
