报告题目：Effects of stochastic perturbations on the coexistence of tree-grass in savanna
报告人：刘蒙 教授（淮阴师范学院）
报告时间：2022年11月4日下午15:30—16:30
腾讯会议ID：508-834-334
报告摘要：Savannas are widely distributed on the earth, and the growth of the species live in savannas often encounter the environmental perturbations. In this talk, taking white noise and telephone noise into account, we formulate a stochastic hybrid tree-grass savanna model. We first give conditions under which the two species represented by the model stably coexist in the sense that the model admits a unique ergodic non-boundary stationary distribution and the transition probability of the solution of the model converges to this stationary distribution exponentially under total variation norm. Then we provide conditions under which the grass species or the tree species die out. Finally we discuss the impacts of telephone noise and white noise on the coexistence and disintegration of the model. This a joint work with Zhaojuan Wang.
报告人简介：刘蒙，教授，现任淮阴师范学院科技处处长。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等期刊上发表论文多篇。入选江苏省高校“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。
