时间：2024年5月18日（周六）上午9：00-12:00
地点：腾讯会议：819-225-923
主讲人：唐德副教授
讲座主题：Global dynamics for two-species competition model with resource-dependent diffusion
(资源依赖扩散的两种群竞争模型的全局动力学)
摘要：
In this talk, we consider the population models with resource-dependent dispersal for single-species and two-species with competition. For the single-species model, it is well-known that the total population supported by the environment is always greater than the environmental carrying capacity if the dispersal is simply random diffusion. However, we find that the total population supported can be equal or smaller than the environmental carrying capacity when the dispersal depends on the resource distribution. This analytical finding not only well agrees with the yeast experiment observation of Zhang et al. (Ecol Lett 20(9):1118–1128, 2017), but also indicates that resource-dependent dispersal may produce different outcomes compared to the random dispersal. For the two-species competition model, when two competing species use the same dispersal strategy up to a multiplicative constant (i.e. their dispersal strategies are proportional) or both diffusion coefficients are large, we give a classification of global dynamics. We also show, along with numerical simulations, that if the dispersal strategies are resource-dependent, even one species has slower diffusion, coexistence is possible though competitive exclusion may occur under different conditions. This is distinct from the prominent result that with random dispersal the slower diffuser always wipes out its fast competitor. Our analytical results, supported by the numerical simulations, show that the resource-dependent dispersal strategy has profound impact on the population dynamics and evolutionary processes.
个人简介
唐德，中山大学副教授，硕士生导师。博士(直博)毕业于湖南大学，师从桂长峰教授。主要从事微分方程、动力系统和生物数学等方面研究。主持国家自然科学基金，国家博士后基金和广东省自然科学基金等科研项目。以第一作者/或通讯作者在Nonlinearity、 Journal of Differential Equations、 SIAM Journal on Applied Dynamical Systems、Discrete and Continuous Dynamical Systems等杂志发表论文十余篇。