本文讨论了与生物资源管理相关的食饵具脉冲扰动与捕食者具连续收获的时滞捕食一食饵模型,得到了捕食者灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界,我们的结论为现实的生物资源管理提供了可靠的策略依据,也丰富了脉冲时滞微分方程的理论.
We consider a delayed predator-prey biological resource management model with impulsive perturbations on prey and continuous harvesting on predator. Sufficient conditions which guarantee the global attractivity of predator-extinction periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactic basis for the practical biological resource management, and enrich the theory of impulsive differential equation.