一类滞后生态微分方程的初值问题

Solution Method of Initial Value for a Sort of Delay FDE

对一般的滞后系统，人们采用了将滞后变量ｘ（ｔ－１）用一个Ｈｅｒｍｉｔｅ插值多项式来处理，从而把滞后系统转化为常微分方程系统来求其数值解（见文［２］，［３］）．本文根据［２］中的表Ⅰ选用了一个带有五次Ｈｅｒｍｉｔｅ插值多项式的四阶Ｒｕｎｇｅ－Ｈｕｔａ法来求两个常见的滞后初值问题．

In an ordinary delay system, we use a Hermite polynomial instead of x(t-1) , so that we can solve a constant differential system. This paper according to , the table Ⅰ. we use a four orders Runge Kutta method of five orders Hermite interpolation polynomial to solve initial value problem of two special delay systems.