渔业管理模式的可行性。具有环境随机性的脉冲式限额捕捞政策
Feasibility of a fishery regulation model. A pulse quota fishing policy with environmental stochasticity
摘要:
确定性种群模型上的环境随机效应,资源(例如{ \it},鱼类种群)被引入。假设收获活动集中在非预定序列的时刻,在该时刻,丰度达到某个预定水平,然后突然下降到恒定的捕获配额(脉冲收获)。因此,丰度是由一个随机脉冲型微分方程,结合标准的布朗运动的人均增长率。在这种随机效应下,脉冲时间是随机变量的图像,更准确地说,它们是随机过程的“停止时间”。下一个访问时间的有限期望{ \it,即}的证明,该法规的可行性,是主要的结果。
英文摘要:
An enviromental-random effect over a deterministic population mo\-del, a resource ({\it e.g.}, a fish stock) is introduced. It is assumed that the harvest activity is concentrated at a non predetermined sequence of instants, at which the abundance reaches a certain predetermined level, for then to fall abruptly a constant capture quota (pulse harvesting). So that, the abundance is modeled by a stochastic impulsive type differential equation, incorporating an standard Brownian motion in the per capita rate of growth. With this random effect, the pulse times are images of a random variable, more precisely, they are "stopping-times" of the stochastic process. The proof of the finite expectation of the next access time, {\it i.e.}, the feasibility of the regulation, is the main result.
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