对流环境下具有额外食物资源的Leslie-Gower捕食者-食饵模型  

Leslie-Gower Predator-Bait Model in Convective Environments with Additional Food Resources

作　　者：杨旺 张国洪[1] YANG Wang;ZHANG Guohong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2023年第1期1-8,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871403)。

摘　　要：研究了对流环境下具有额外食物资源的Leslie-Gower捕食者-食饵模型.其中假设捕食者进行随机扩散和定向迁移的混合运动,而食饵只进行简单的随机扩散.首先得到了模型的耗散性,然后分析了模型边界平衡态解的稳定性,进一步得到了系统种群一致持续的条件.研究表明,在一定条件下,流速的增加可以为食饵提供保护,从而有利于捕食者与食饵的持久共存.In this paper, we study a Leslie-Gower predator-bait model in a convective environment with additional food resources, where the predators are assumed to perform a mixture of random diffusion and directional migration, while the bait only performs simple random diffusion. The dissipativity of the system is first obtained, and then the stability of the equilibrium solution at the boundary of the system is analyzed, and the conditions for the consistent persistence of the system population are further obtained. It is shown that under certain conditions, the increase of flow rate can provide protection for the food bait, which is conducive to the persistent coexistence of predators and food bait.

关 键 词：额外食物资源 对流 Leslie-Gower捕食者 稳定性 一致持续性 

分 类 号：O175[理学—数学]