Dynamics in a stage-structured model for biocontrol of sea lice

发布时间：2018-11-09 作者：浏览次数：

Speaker:	袁沅教授	DateTime:	2018年11月13日（周二）上午10:30-11:30
Brief Introduction to Speaker: 袁沅教授，1988年于中南大学获得硕士学位，2002年于加拿大西安大略大学（University of Western Ontario）获得博士学位。2002年受NSERC资助曾在滑铁卢大学(University of Waterloo)做短暂博士后研究，随后于2002年9月起受聘于加拿大纽芬兰纪念大学（Memorial University of Newfoundland）至今，现为该校数学与统计系正教授和博士生导师。主要研究方向包括非线性动力系统的稳定性及分支分析、时滞微分方程及其在神经网络和生物数学等的应用、微分方程的符号及数值计算方法。现已在SIAM Journal of Appled　Mathematics, Journal of Mathematical Biology, Journal of Mathematical Analysis and Applications, Journal of Differential Equations, Nonlinear Analysis: Real World Applications, SIAM Journal on Applied Dynamical Systems等主要应用数学及生物数学杂志发表论文近六十篇。研究成果深受同行好评及引用，研究一直受到加拿大NSERC的资助。		Place:	六号楼二楼报告厅
Abstract: Sea lice infection is one of the major threats in marine fishery, especially for farmed salmon. So the treatment of sea lice become one of the top priorities in aquaculture research, due to their responsibility for most disease outbreaks on salmon farms and causing enormous monetary losses. In this talk, we propose a mathematical model for the growth and biological control of sea lice. We classify the growth of sea lice population into three stages and introduce cleaner fish as a predator to discuss the interaction between sea lice and cleaner fish by using the theory and methods in dynamics.We further discuss the local stability of the positive equilibrium point and investigate the Hopf bifurcation. Numerical simulations and case study are provided to assert the theoretical predictions.

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