报告题目：Effects of Predator Harvest and Environmental Noises on Coral Reef
报告时间：2023年12月11日（周一）上午9:00—10:00
报告人：范猛 教授
主持人：刘文军 教授
报告地点：藕舫楼724室
报告摘要：Coral reefs are important for the preservation of an oceanic ecosystem. However, they have been experiencing severe destruction by environmental variations and human activities. In this paper, a tri-trophic food chain model consisting of coral, CoTS, and triton is established in deterministic and stochastic environments to explore the effects of harvesting in the deterministic system and environmental noises in the stochastic system, respectively. The existence of possible steady states along with their stability of the deterministic system is rigorously discussed. From the economic perspective, the existence of the bionomic equilibrium and the optimal harvesting policy are established. The long-time behaviors of the stochastic system are well explored. Numerical simulations are provided to validate and complement the theoretical results. The main findings reveal that over-harvesting of triton is not beneficial to coral reefs, modest harvesting of CoTS may promote sustainable growth of coral reef, and the presence of strong noises can lead to population extinction.
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数学与统计学院
江苏省应用数学（南京信息工程大学）中心
江苏省系统建模与数据分析国际合作联合实验室
2023年12月8日
附：专家简介
范猛，东北师范大学数学与统计学院二级教授、博士生导师，吉林国家应用数学中心副主任。主要从事非线性动力学系统和生物数学研究，出版专著和教材各1部，共同主编论文集和进展特刊7部，发表学术论文100余篇，主持国家自然科学基金项目和省部级项目10余项，7次入选Elsevier中国高被引学者。获国务院政府特殊津贴、教育部新世纪优秀人才、吉林省首批长白山学者特聘教授等荣誉；获教育部自然科学奖二等奖、吉林省第七届青年科技奖等科技奖励；获宝钢教育奖优秀教师奖、明德教师奖等教学奖励。曾在美国、加拿大、日本的多所大学进行学术访问。现任4种学术期刊编委、中国数学会常务理事、中国数学会生物数学专业委员会副主任等。
