对流环境下具有混合迁移模式的捕食者食饵模型分析  

Dynamic Analysis on a Predator-Prey Model with Mixed Migration Strategy in Advection Environments

作　　者：张柏枫 张国洪[1] ZHANG Baifeng;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）》2022年第5期1-9,共9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：讨论了一个对流环境下捕食者和食饵种群具有不同迁移模式的捕食者食饵模型.首先得到了系统的耗散性,然后分析了系统种群平衡态的存在性和稳定性,最后得到了系统种群一致持续的条件.研究表明在一定条件下,系统存在一个临界的流速,使得当流速小于此临界值时,系统是一致持续的,反之若流速大于此临界值则食饵种群将灭绝.数值模拟进一步发现对流对种群的空间分布格局也有重要影响.In this paper,a predator-prey model with mixed migration strategy has been discussed.Firstly,the dissipative property of the system is obtained,and then the existence and stability of the stationary states of the system are analyzed.Finally,we give the conditions that the system is uniformly persistent.Studies show that under certain conditions,there is a critical advection speed,which makes the system be uniformly persistent when the advection speed is less than this critical value,and conversely,if the advection speed is greater than this critical value,the prey will be extinct.Numerical simulation shows that advection has an important impact on the spatial distribution pattern of the population.

关 键 词：捕食者食饵模型 混合迁移模式 对流环境 稳定性 一致持续性 

分 类 号：O175[理学—数学]