Numerical Oscillation Analysis for Gompertz Equation with One Delay

Abstract

This paper concerns with the oscillation of numerical solutions of a kind of nonlinear delaydifferential equation proposed by Benjamin Gompertz, this equation usually be used todescribe the population dynamics and tumour growth. We obtained some conditions underwhich the numerical solutions are oscillatory. The non-oscillatory behaviors of numericalsolutions are also analyzed. Numerical examples are given to test our theoretical results.