论文标题
延迟冲动收获的最佳和可持续性
Optimality and sustainability of delayed impulsive harvesting
论文作者
论文摘要
我们考虑一个逻辑微分方程，可能会受到冲动延迟收获的约束，其中推论信息是先前一种冲动之一时人口大小的函数。与高阶差异方程的动力学的密切联系被用来得出结论，尽管在冲动条件中延迟延迟不会影响产量的最佳性，但可持续性可能会受到很大影响，并且通常依赖于延迟。探索了最大和其他类型的收率，并为模型获得了尖锐的稳定性测试以及明确的足够条件。还表明，在所有正初始条件下，不能保证溶液的持久性，并且在有限的时间内灭绝是可能的，如模拟中所示。
We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of high-order difference equations is used to conclude that while the inclusion of a delay in the impulsive condition does not impact the optimality of the yield, sustainability may be highly affected and is generally delay-dependent. Maximal and other types of yields are explored, and sharp stability tests are obtained for the model, as well as explicit sufficient conditions. It is also shown that persistence of the solution is not guaranteed for all positive initial conditions, and extinction in finite time is possible, as is illustrated in the simulations.
