The evolution dynamics of an impulsive hybrid population model with spatial heterogeneity

讲座时间 Datetime: 2022年6月30日，星期五，19:30—21:00

地点 Venue: 腾讯线上会议：894-612-667

主持人 Host：唐德

报告人 Speaker: 赵晓强

单位 Affiliation:加拿大纽芬兰纪念大学

报告摘要 Abstract:

In this talk, I will report our recent research on evolution dynamics for an impulsive hybrid population model with nonlocal dispersal/random diffusion operators in a heterogeneous landscape. Since this hybrid model generates a time-periodic semiflow on the space of continuous functions,  the problem reduces to the investigation of a discrete-time recursion system defined by the Poincare period map. We obtain a threshold-type result on the global dynamics of the population in a single-patch landscape. Moreover, the  recursion admits a unique positive steady state which is globally asymptotically stable. For the population spread in a periodic-patchy landscape, we establish the existence of spreading speed and its coincidence with the minimal wave speed for spatially periodic traveling waves. Simulations are presented to illustrate our analytic results.