【摘要】 以脉冲微分方程为基础,建立了一类污染环境中在固定时刻对污染进行治理的具有时滞效应的单种群阶段结构模型.详细研究了该模型的动力学性质,给出了种群灭绝和持续生存的充分条件,并进一步研究了污染治理和时滞效应对种群灭绝的影响.本文具有很强的生物意义,为环境污染治理问题提供了可靠的依据.更多还原

【Abstract】 By using impulsive differential equation,we establish a single-species stagestructured model with impulsive pollution abatement and time delay at fixed time in a polluted environment.Sufficient conditions for permanence and extinction of the population are obtained. The biological significance of this paper is strong,and our results provide reliable strategy basis for environment pollution treatment.更多还原