Numerical Oscillation Analysis for Gompertz Equation with One Delay

Year 2020, Volume: 3 Issue: 1, 1 - 7, 10.06.2020

Qian Yang , Qi Wang

https://doi.org/10.33401/fujma.623500

Cited By: 2

Abstract

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

Supporting Institution

Natural Science Foundation of Guangdong Province

Project Number

2017A030313031

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