應(yīng)yl7703永利官網(wǎng)王智誠教授和張亮教授的邀請,華南理工大學金海洋教授將于2023年9月6日-7日訪問蘭州大學,期間于9月7日舉辦線上專題學術(shù)報告。
報告題目:Global solvability and stability of an alarm-taxis system
時 間:9月7日上午10:00.
地 點:騰訊會議 6154 5677 412
報告摘要:This talk is concerned with the global boundedness and stability of classical solutions to an alarm-taxis system describing the burglar alarm hypothesis as an important mechanism of antipredation behavior when prey species are threatened by predators. Compared to the existing prey-taxis systems, the alarm-taxis system has more complicated coupling structure and additionally requires the gradient estimate of the primary predator density to attain the global boundedness of solutions. By the sophisticated coupling energy estimates based on the Neumann semigroup smoothing properties, we establish the existence of globally bounded solutions in two dimensions with Neumann boundary conditions and furthermore prove the global stability of coexistence homogeneous steady states under certain conditions on the system parameters.
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報告人簡介
金海洋,華南理工大學數(shù)學學院教授,博士生導師。2011-2014就讀于香港理工大學應(yīng)用數(shù)學系并獲得博士學位。目前研究方向主要集中在生物趨向性運動的相關(guān)理論及其應(yīng)用。近年來在 SIAM. J. Math. Anal., SIAM J. Appl. Math.,M3AS, JDE, Nonlinearity等期刊發(fā)表SCI論文30余篇, 2022年以第一完成人獲廣東省自然科學二等獎一項,已主持完成國家自然科學面上項目一項,現(xiàn)主持國家自然科學基金項目面上項目和廣東省自然科學基金杰出青年項目各一項。
甘肅應(yīng)用數(shù)學中心
甘肅省高校應(yīng)用數(shù)學與復雜系統(tǒng)省級重點實驗室
yl7703永利官網(wǎng)
萃英學院
2023年9月5日