学术报告报告主题: Population dynamics with resource-dependent dispersal: single-and two-species models
报 告 人: 唐德 副教授 （中山大学）
报告时间： 2023年8月31 日（星期四）下午15:00-16:00
报告地点： 清清文理楼 3A01
邀 请 人: 姚若飞 副教授
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数学学院
2023年 8月28日
报告摘要：
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.
报告人介绍：
唐德，中山大学副教授，硕士生导师。研究方向为：微分方程、动力系统、生物数学。以第一作者/或通讯作者在Nonlinearity、 Journal of Differential Equations、 Journal of Dynamics and Differential Equations、Journal of Mathematical Biology、SIAM Journal on Applied Dynamical Systems、Discrete and Continuous Dynamical Systems等杂志发表论文十余篇。