Numerical Oscillation Analysis for Gompertz Equation with One Delay

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

Keywords:

Asymptotic behavior, Gompertz equation Oscillation, Theta-method,

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