基于常系数的Volterra生物数学模型稳定性分析

Stability analysis of a Volterra biological mathematical model based on constant coefficient

当前Volterra生物数学模型稳定性分析方法对于时间序列分析的结果不准确,导致稳定性分析效果较差,为此提出基于常系数的Volterra生物数学模型稳定性分析方法.分析Volterra生物数学模型的种间关系,利用常系数进行种间关系数量稳定性与持续性求解,证明Volterra生物数学模型生物种群能够保持持续永存状态.在此基础上,通过常系数构建生物种群周期稳定性的时滞离散型模型,确定Volterra生物数学模型稳定性.实验结果表明,此分析方法能够精准地确定时间序列,提高分析结果准确率.

The current stability analysis methods of a Volterra biological mathematical model are not accurate for time series analysis,which leads to poor stability analysis effect.Therefore,a constant coefficient based stability analysis method for a Volterra biological mathematical model is proposed.This paper analyzes the interspecific relationship of a Volterra biological mathematical model,and uses constant coefficient to solve the quantitative stability and persistence of interspecific relationship.It is proved that the biological population of Volterra biological mathematical model can keep sustainable and permanent state.On this basis,the time-delay discrete model of biological population periodic stability is constructed by constant coefficient to determine the stability of Volterra biological mathematical model.Experimental results show that this method can accurately determine the time series and improve the accuracy of the analysis results.