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乐鱼yb:【理学?学术报告】Stability and dynamical bifurcation of a stochastic regime-switching predator-prey model

文章作者:陈珊珊发布时间:2024-05-13浏览次数:10

报告摘要: In this talk, we consider a stochastic regime-switching predator-prey system with general functional response. We show that the system exactly possesses two dynamical bifurcation points (DBPs), and the expressions of these DBPs are given explicitly. In addition, we provide the sharp sufficient criteria under which the system admits a unique ergodic invariant measure (UEIM), and show that the transition function of the solution of the system exponentially converges to the UEIM under the total variation norm. The findings show that the stability and dynamical bifurcation of the system have close relationships with the random perturbations. Additionally, the main findings are applied to several special cases, and a number of recent reports are improved.

 

报告时间:2024518日(周六)下午16:30-17:30,

报告地点:主楼H203

 

报告人简介:

 

刘蒙,淮阴师范乐鱼yb数学与统计乐鱼yb乐鱼yb。先后于2007年和2009年在乐鱼yb获理学学士和硕士学位,2012年在哈尔滨工业大学获理学博士学位。2016年至2017年在加拿大阿尔伯塔大学数学系进行学术交流与访问。现为淮安市青年联合会副主席。主要从事生物数学以及随机微分方程等方面的研究工作。主持国家自然科学基金面上项目和青年项目以及江苏省自然科学基金优秀青年项目等7项。在Journal of Mathematical Biology、Journal of Nonlinear Science等期刊上发表论文多篇。江苏省高校青蓝工程中青年学术带头人、江苏省“333高层次人才培养工程中青年学术技术带头人,2019-2021连续三年科睿唯安 “Highly Cited Researchers”。曾获江苏省教育系统先进个人(优秀教师)、淮安市劳动模范、淮安市优秀共产党员、淮安市十大杰出青年等称号。刘乐鱼yb个人主页:https://maths.hytc.edu.cn/


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