具非瞬时/瞬时脉冲收获与脉冲入侵的单种群动力学模型研究

Dynamics of a Single Population Model with Non-Transient/Transient Impulsive Harvesting and Impulsive Invasion

【目的】建立具有非瞬时/瞬时脉冲收获与脉冲入侵的单种群模型。【方法】运用微分方程及频闪映射相关理论,得到了系统持续生存的条件。【结果】非瞬时脉冲收获率、瞬时脉冲收获率和脉冲入侵系数对系统持久起着重要的作用。【结论】为生物资源的管理提供一定的理论支持。

[Purposes]To establish a single population model with non-transient/transient pulse harvesting and pulse invasion.[Methods]By the theories of impulsive differential equation and stroboscopic map,the sufficient condition for the permanence of the investigated system is obtained.[Findings]The results show that the non-transient impulsive harvesting rate,transient impulsive harvesting rate and the impulsive invasion coefficient play important roles in system permanence.[Conclusions]It can provide some theoretical basis for the biological resource management.