报告题目：Turing patterns in a predator-prey reaction-diffusion model with seasonality and fear effect

报 告 人：王其如教授(中山大学)

时    间：2023年 4月16日(星期日)16:00-16：50,17:00-17:50

地    点：威廉希尔中文网站305

报告摘要:  In this talk, we study a predator-prey reaction-diffusion model with seasonality and fear effect. In this model, the predator species reproduces only at a certain time of each year. We calculate the steady states of the system and study their stabilities, then we derive the conditions for Turing instability to occur. Numerical simulations show that (i) spatial patterns can emerge for Beddington-DeAngelis functional response; (ii) the system can have oscillatory behavior for both linear functional response and Beddington-DeAngelis functional response.

王其如教授简介：中山大学教授，博士生导师，中国工业与应用数学学会理事、数学与国防创新委员会委员、广东省和广州工业与应用数学学会理事长。从事微分方程与动力系统、数学建模等方面的研究及应用，主持或主持完成国家自然科学基金面上项目5项，在国内外重要学术期刊Nonlinear Anal. Real World Appl.、J. Differential Equations、Discrete Contin. Dyn. Syst.等发表相关学术论文120 余篇。