开放对流环境下合作反应扩散对流模型的解的全局定性分析  

On Global Qualitative Analysis of Solutions of Cooperative Reaction-Diffusion-Advection Model in Open Advective Environment

作　　者：刘青兰 张国洪[1] LIU Qinglan;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3期44-51,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：讨论了一个开放对流环境下合作反应扩散对流模型的动力学行为.研究发现存在2个临界对流速率将该系统的动力学行为分为4种不同的情形:(i)两个种群都灭绝;(ii)物种u长期存活,物种v灭绝;(iii)物种v长期存活,物种u灭绝;(iv)两个物种都能持续生存.数值模拟发现,对流速率的变化对种群的空间分布模式也有重要影响.In this paper,the dynamic behavior of a cooperative reaction-diffusion-advection model has been discussed in an open advection environment.It's found that there are two critical advection rates which divide the dynamic behavior of the system into four different situations:1)both populations are extinct;2)The species-u survives for a long time,and the species-v becomes extinct;3)The species-v survives in the long run,and the species-u becomes extinct;4)Both species can survive continuously.Numerical simulations show that the change of advection rate also has an important impact on the spatial distribution pattern of the population.

关 键 词：开放对流环境 合作模型 持续性 灭绝 

分 类 号：O175[理学—数学]