报告主题:Noise-induced phenomena in two types of stochastic population models
报告人:许超群 副教授
报告时间:2024年11月9日(周六)下午14:00—16:00
报告地点:腾讯会议 265 273 371
报告摘要: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.
报告人简介:许超群,江苏大学数学科学学院副教授、硕士生导师。主要研究方向为随机生物数学模型的渐近性质。已经在Chaos、Mathematical Biosciences、Bulletin of Mathematical Biology等期刊上发表SCI论文20余篇,主持完成国家自然科学基金项目和江苏省自然科学基金项目各一项。
(邀请人:裴鑫)