具有脉冲扩散的单种群模型的研究

Research for a Single Species Model with Impulsive Diffusion

本文讨论了在两个斑块上具有脉冲扩散的单种群模型,证明了在适当条件下系统是一致持久的,并利用单调凸算子理论,得到了系统存在唯一全局渐近稳定的周期解,利用数值模拟进一步证明了所得的结论。

In this paper we propose a single species model with impulsive diffusion between two patches,We obtain uniform persistence under certain conditions,By using the discrete dynamical system generated by a monotone,concave map for the dispersal model we prove that the Poincare map has a globally stable positive fixed point.This implies that the system has a globally stable positive periodic solution.This result is further substantiated by numerical Simulation.