一类食物链模型的稳定性分析

On the Stability of a Food Chain Model

讨论了一个三种群食物链模型中正平衡解的稳定性.如果各种群密度不仅依赖于时间变化,而且依赖于空间变化,那么就要考虑反应扩散系统.应用线性化方法和Routh-Hurwitz判别法讨论了反应扩散系统正平衡点的局部渐近稳定性.

This paper mainly discusses the stability of the positive equilibrium solution of a three species food chain model. If the population density depends not only on the time changes, but also on the spatial variation, it is necessary to consider the reaction diffusion system. The local asymptotic stability of the positive equilibrium point diffusion system is discussed using linearization method and Routh- Hurwitz method.