Critical bait casting threshold of cage culture in open advective environments

文献类型： 外文期刊

第一作者： Li, Shuai

作者： Li, Shuai;Yuan, Sanling;Zhou, Jin

作者机构：

关键词： Reaction-diffusion-advection; Net reproductive rate; Bifurcation; Cage culture; Persistence

期刊名称：APPLIED MATHEMATICS LETTERS （ 影响因子：4.294； 五年影响因子：3.626 ）

ISSN： 0893-9659

年卷期： 2022 年 134 卷

页码：

收录情况： SCI

摘要： Cage culture, as a kind of aquaculture, is increasingly becoming the main way to provide aquatic products due to its merits of high output and easy management. However, the main issue for the fishermen to be concerned about is the determination of the reasonable amount of casting bait since excess feeding bait will not only deteriorate water quality but also increase farming costs while too little bait casting cannot meet the demand for capture. To this end, in this letter, we formulate a diffusive bait-fish model with advection term, aiming to determine the bait casting threshold that meets the demand for the breeding and causes less pollution to the water environment. We first prove the well-posedness of the proposed model. Then we define the net reproductive rate R0 determining the survival of the model and reveal the relationship between R0 and the bait casting rate. Besides, we show that the proposed model undergoes a forward supercritical transcritical bifurcation when the bait casting rate is equal to the critical value. Finally, we resort to a numerical example to support our theoretical results. (C) 2022 Elsevier Ltd. All rights reserved.

分类号：

  • 相关文献
作者其他论文 更多>>

微信小程序