基于互惠食饵捕食模型的草原放牧稳定性的研究

Research on the stability of grassland grazing based on reciprocal Prey-Predator system

对草原放牧稳定性进行了研究,主要采用食饵捕食模型研究最佳的放牧数量。在一般食饵捕食模型、互惠食饵捕食模型和将牧草分类分析建立的优化模型中分别求得平衡点,分别对3种模型求出的平衡点运用微分方程稳定性研究理论和MATLAB数值模拟考察平衡点稳定性,确定了牧草和放牧数量的最佳值,最后给出分类划片放牧和按季节轮牧的建议。

Grassland grazing stability has been studied,primarily using Prey-Predator model to investigate the optimum amount of grazing.The equilibrium point was found in the general Prey-Predator model,the reciprocal Prey-Predator model and the optimal model established by classifying and analyzing the pasture.The equilibrium points derived from the three models were investigated separately using differential equation stability theory and MATLAB numerical simulations to determine the optimum values for pastures and quantity of grazing.Finally,recommendations were made for classified patch grazing and seasonal rotation.