具功能反应两种群捕食模型的稳定性与极限环的存在性

The global stability of the equilibrium and the existence of the limit cycle in the two species prey-predator model with functional response

研究了一类具功能性反应的两种群捕食-被捕食模型,运用微分方程稳定性理论和Poincaré-Bendixon环域定理,探讨了这个系统的平衡点的性态以及极限环的存在性.

The two species prey-predator model with functional response is studied in this paper. By using stability analysis methods and the Poinear6-Bendixon theory, the blobal stability of the equilibrium and the existence of the limit cycle can be achieved.