Dynamics analysis of a reaction-diffusion-advection benthic-drift model with logistic growth

报告题目: Dynamics analysis of a reaction-diffusion-advection benthic-drift model with logistic growth

报告人: 聂华  陕西师范大学（Shanxi Normal University）

时间：12月13日（星期五），09:30-10:30

腾讯会议，会议号：305-589-030  密码：898989

摘要： The purpose of this talk is to investigate the benthic-drift population model in both open and closed advective environments, focusing on the logistic growth of benthic populations. We employ the theory of monotone dynamical systems to analyze the threshold dynamics. Specifically, when the zero solution is linearly unstable, we first obtain upper and lower semi-continuous limits by iterating monotonically from upper and lower solutions. Then, using a part metric, we prove that these two limits are equal and continuous, enabling us to construct a positive steady state. Furthermore, we conduct a quantitative analysis of the principal eigenvalue for a non-self-adjoint eigenvalue problem to examine how the diffusion rate, advection rate, and population release rates influence the dynamics. The results suggest that the diffusion rate and advection rate have distinct effects on population dynamics in open and closed advective environments, depending on the population release rates.