報告主題：Noise-induced phenomena in two types of stochastic population models

報告人：許超群 副教授

報告時間：2024年11月9日（周六）下午14:00—16:00

報告地點：騰訊會議 265 273 371

報告摘要：Two stochastic population models will be introduced. For a stochastic single-species population model with Allee effect, we derive the corresponding Fokker-Planck equation and obtained the SPD. By analyzing the shape of SPD under different parameter conditions, we find that the P-bifurcation may occur in the stochastic model. For a predator-prey model of Leslie type with generalized Holling type III functional response, the phenomenon of noise-induced oscillatory transitions is studied. To reveal the probabilistic mechanisms of the noise-induced transitions, we construct the confidence domains of stochastic attractors by applying the technique of stochastic sensitivity functions.

報告人簡介：許超群，江蘇大學數學科學學院副教授、碩士生導師。主要研究方向為随機生物數學模型的漸近性質。已經在Chaos、Mathematical Biosciences、Bulletin of Mathematical Biology等期刊上發表SCI論文20餘篇，主持完成國家自然科學基金項目和江蘇省自然科學基金項目各一項。

（邀請人：裴鑫）