応用解析セミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~

開催情報 木曜日 16:00~17:30 数理科学研究科棟(駒場) 002号室
担当者 石毛 和弘

2017年07月13日(木)

16:00-17:30   数理科学研究科棟(駒場) 122号室
下條昌彦 氏 (岡山理科大学)
Behaviors of solutions for a singular prey-predator model and its shadow system
(JAPANESE)
[ 講演概要 ]
We study the asymptotic behavior and quenching of solutions for a two-component system of reaction diffusion equations modeling prey-predator interactions in an insular environment. First, we give the global existence of solutions to the corresponding shadow system. Then, by constructing some suitable Lyapunov functionals, we characterize the asymptotic behaviors of global solutions to the shadow system. Also, we give a quenching result for the shadow system. Finally, some global existence results and the asymptotic behavior for the original reaction diffusion system are given.

This is joint work with Jong-Shenq Guo (Tamkang Univ.) and Arnaud Ducrot (Univ. Bordeaux).