单食饵—双捕食者捕食模型的耗散结构

Dissipative Structure of Model for Single Prey and Double Predators

主要研究了两个捕食者作用于同一食饵的捕食模型。应用微分方程定性理论,对捕食模型中存在极限环的情况进行了讨论,用MATLAB在相平面上模拟出系统的极限环。此时该体系状态的发展呈现周期振荡趋势,从而揭示出捕食模型的耗散结构特征。

A prey-predator model for both predators that can eat the same prey was studied. The existence of limit cycle in the model was discussed by the qualitative theory of differential equation, and the limit cycle was simulated using MATLAB in the phase plane. The system shows a periodic oscillation. Thus, it reveals the dissipative structure characteristic of the model based on trophodynamics.