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澳门皇家赌场线上博彩动力系统与非线性分析研究所学术报告(黄立宏 长沙理工大学)

澳门皇家赌场:付慧娟   发布时间:2020-10-20  浏览次数:175

报告题目:Qualitative Analysis of Predator-Prey Models with a Refuge

报告人:黄立宏 长沙理工大学教授博士生导师

报告时间:20201024星期六下15:30-16:30

报告地点:腾讯会议(会议号:373 977 608

摘要:In this talk, we introduce a class of predator-prey models with a refuge, which satisfies the assumptions: the prey is the only resource to keep predators alive; there exists a certain threshold value, if the prey-predator ratio is below the threshold value, preys will stay in the refuge to avoid the predation, otherwise all the preys will go out of the refuge since most food sources for preys to survive are outside the refuge. By employing the qualitative theory related to Filippov systems, we give the necessary and sufficient conditions for the global asymptotical stability of a standard cycle, a touching cycle and a sliding cycle respectively. Moreover, we also introduce several kinds of sliding bifurcations including boundary node bifurcation, boundary focus bifurcation and touching or grazing bifurcation by utilizing numerical simulation method.

个人简介:黄立宏长沙理工大学二级教授、博士生导师,国家级教学名师,享受国务院特殊津贴专家,现任长沙理工大学副校长、湖南省数学会副理事长主要研究方向为微分方程、动力系统、差分方程理论与应用其代表学术著作有Linear Stability and Hopf Bifurcation in a Three-unit Neural Network with Two DelayNonlinear Waves in Networks of Neurons with Delayed Feedback: Pattern Formation and ContinuationHopf Bifurcating Periodic Orbits in a Ring of Neurons with Delays等。黄立宏教授SIAM Journal of Mathematical AnalysisJournal of Differential Equations重要学术期刊上发表论文200余篇,出版专著3部,教材10余部。先后主持承担国家自然科学基金面上项目6项,国家对外交流与合作项目3项,省部级项目10余项。曾被列入湖南省新世纪121人才工程”人选,机械工业部部属院校跨世纪学术骨干培养计划和机械工业部部属院校跨世纪学科带头人培养计划,获得教育部科技进步奖1项、机械工业部科技进步奖2项,湖南省科技进步奖1项。曾先后应邀到加拿大约克大学(York University) 纽芬兰纪念大学(Memorial University of Newfoundland)、劳里埃大学(Wilfrid Laurier University)和曼尼托巴大学(University of Manitoba)访问与合作科研,作为组织委员会主席和学术委员会委员多次组织举办国际和全国性学术会议。

邀请人:动力系统研究团队



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