第98回金沢解析セミナー(2022/12/2)
日時:12月2日(金) 16:30–18:00 第98回金沢解析セミナー
場所:ハイブリッド(対面:自然科学5号館コロキウム3, オンライン参加登録:https://forms.gle/GkHYgz2waERo7rsWA)
講演者: 下條 昌彦 氏(東京都立大学)
タイトル: The convergence to a traveling front of predator-prey type reaction-diffusion systems with equal diffusivity by utilizing a Liouville-type theorem
アブストラクト: The aim of this talk is to study the convergence to traveling front of reaction-diffusion systems such as predator-prey models. A solution of the reaction-diffusion system, that exists for all real-time, is called an entire solution. Using the relative entropy function, we establish a Liouville-type theorem for the entire solutions of general reaction-diffusion systems. Several examples from ecology and epidemiology will be discussed to illustrate the applications of this theory.