以营养动力学为基础的捕食模型的耗散结构诠释

本文从耗散结构理论出发,推导了营养动力学的捕食模型等效于一类扩展的二分子模型。应用微分方程定性理论,讨论了营养动力学捕食模型在相平面上的行为,指出了当参数满足一定条件时,该食饵和捕食者体系存在极限环,其体系状态的发展呈现高度的时间有序,从而揭示了营养动力学捕食模型的耗散结构特征,并通过计算机模拟予以实现。

THE DISSIPATIVE STRUCTURE EXPLAINATION ON THE PREDATION MODEL OF NUTRITION KINETICS

Based on the theory of the dissipative structure, this paper has demonstrated that the predation model of the nutrition kinetics equals the quasi-bimolecular model. With the help of the qualitative theory of differential equation, the paper has discussed that the behavior of the predation model based on the nutrition kinetics in the phase space, and pointed out that the systems of the predator and prey there exists a limit cycle when certain conditions are satified for its parameters. Meanwhile, the highly temporal ordered system state was also been presented, and the dissipative structure of the predation model based on the nutrition kinetics were revealed through computer simulation.