报告人：魏凤英（福州大学）
邀请人：吴付科
报告时间：2023年7月14日（星期五）10:30-12:00
报告地点：科技楼南楼711室
报告题目：Truncated Euler-Maruyama Method for Stochastic L-V Competition Models
报告摘要：The well-known stochastic Lotka-Volterra model for interacting multi-species in ecology has some typical features: highly nonlinear, positive solution and multi-dimensional. The known numerical methods including the tamed/truncated Euler-Maruyama (EM) applied to it do not preserve its positivity. The aim of this paper is to modify the truncated EM to establish a new positive preserving truncated EM (PPTEM). To simplify the proof as well as to make our theory more understandable, we will first develop a nonnegative preserving truncated EM (NPTEM) and then establish the PPTEM. Of course, we should point out that the NPTEM has its own right as many SDE models in applications have their nonnegative solutions. This is a joint work with Xuerong Mao and Teerapot Wiriyakraikul.
报告人简介：魏凤英，博士，教授，现任数学与统计学院数学与应用数学系党支部书记、福建省生物数学学会秘书长。主要从事传染病建模及其动力学机制、随机微分方程在数学生物学中的应用，包括定性与稳定性等方面研究。曾主持完成国家级项目3项、省部级项目6项、参编出版教材2部、发表国内外高水平刊物60余篇；曾参与新冠疫情团队研判工作300余次，收到国家卫生健康委员会的感谢信3封。
