论文标题
在扩散逻辑模型中，冲动收获和不断发展的域的影响
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model
论文作者
论文摘要
为了了解域的演化和冲动收获的结合如何影响人群的动态，我们提出了一个扩散的逻辑种群模型，并在周期性发展的域上进行冲动收获。最初，脉冲问题的生态繁殖指数由显式公式引入并给出，这取决于域的演化速率和冲动功能。然后，基于该指数建立了单调或非单调脉冲收获下种群的阈值动力学。最后，进行了数值模拟以说明我们的理论结果，并表明大型域的演化率可以改善人口存活，无论发生哪种冲动收获。相反，冲动收获对人口存活有负面影响，甚至可能导致人口灭绝。
In order to understand how the combination of domain evolution and impulsive harvesting affect the dynamics of a population, we propose a diffusive logistic population model with impulsive harvesting on a periodically evolving domain. Initially the ecological reproduction index of the impulsive problem is introduced and given by an explicit formula, which depends on the domain evolution rate and the impulsive function. Then the threshold dynamics of the population under monotone or nonmonotone impulsive harvesting is established based on this index. Finally numerical simulations are carried out to illustrate our theoretical results, and reveal that a large domain evolution rate can improve the population survival, no matter which impulsive harvesting takes place. Contrary, impulsive harvesting has a negative effect on the population survival, and can even lead to the extinction of the population.
