Turing patterns in a predator-prey reaction-diffusion model with seasonality and fear effect

发布时间：2022-05-16 作者：浏览次数：

Speaker:	王其如	DateTime:	2022年5月17日（周二）下午2：00-3：00
Brief Introduction to Speaker: 王其如，中山大学数学学院教授、博士研究生导师，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、党支部书记。从事微分方程与动力系统、数学建模等方面的研究及应用，主持完成国家自然科学基金面上项目4项、在研1项，在国内外学术期刊发表相关学术论文110 余篇。是德国《数学文摘》和美国《数学评论》的评论员等。		Place:	腾讯会议：782244821
Abstract: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.