Numerical integration of a differential-difference equation with a decreasing time-lag

Abstract

Systems in which variable time-lags are present are of common occurrence in biology. Variable flow rates are a common cause of these variable lags. At present no extensive body of knowledge exists concerning the effects which these variable lags can cause. Shown here is a method of reducing some differential-difference equations to ordinary differential equations which can then be studied numerically with ease. Subsequent study will deal with situations in which multiple-lags and lags dependent on the solution itself are present.