一类延迟Gompertz方程的数值解的振动性分析

doi:10.12052/gdutxb.190162

Abstract

Abstract: Oscillation of numerical solutions is studied with regard to a class of delayed Gompertz equations, which have been widely used in description of the population dynamics and tumour growth. Firstly, the linearized equations are obtained by Taylor formula and its corresponding difference equations by linear θ method. Secondly, the oscillation theory is applied to analyze those obtained equations. In the process, the oscillation is primarily discussed through studying the properties of roots for the corresponding characteristic equations. For requirement, the oscillation of numerical solutions is discussed while the variable θ belongs in different scopes. Accordingly, the sufficient conditions under which numerical solutions oscillate are acquired. To verify the results, some numerical experiments are given. The first three experiments validate the conditions of the delayed Gompertz equation which has three delay terms. And the rest of the experiments check on another which has two delay terms.

Key words: nonlinear delay differential equation, oscillation, numerical solutions, Gompertz

CLC Number:

O241

Yang Qian, Wang Qi. An Oscillation Analysis of Numerical Solution of A Class of Delayed Gompertz Equations[J].Journal of Guangdong University of Technology, 2020, 37(04): 69-74.

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An Oscillation Analysis of Numerical Solution of A Class of Delayed Gompertz Equations

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