數(shù)學(xué)學(xué)院邀請(qǐng)加拿大紐芬蘭紀(jì)念大學(xué)趙曉強(qiáng)教授作學(xué)術(shù)報(bào)告

        應(yīng)佛山大學(xué)數(shù)學(xué)學(xué)院副院長(zhǎng)吳楚芬教授的邀請(qǐng)，加拿大紐芬蘭紀(jì)念大學(xué)趙曉強(qiáng)教授于5月20日，在致用樓501開展了主題關(guān)于“Propagation Dynamics of Reaction and Diffusion Equations in a Time-heterogeneous Shifting Environment”的學(xué)術(shù)報(bào)告。副院長(zhǎng)吳楚芬教授主持學(xué)術(shù)講座，學(xué)院微分方程與分析團(tuán)隊(duì)年輕博士與研究生參會(huì)。

        報(bào)告摘要:In this talk, I will report our recent research on the propagation dynamics of a large class of time and space heterogeneous reaction-diffusion equations in a shifting environment. Let  $c^*$ be the spreading speed of the associated limiting equation. Under the assumption that the shifting speed admits a uniform mean $c$, we show that the solutions with compactly supported initial data go to zero eventually when $c \leq -c^*$, the leftward spreading speed is $-c^*$ when $c > -c^*$, and the rightward spreading speed is $c$ and $c^*$ when $c\in (-c^*,c^*)$ and $c \geq c^*$, respectively. We also establish the existence, uniqueness and nonexistence of the forced traveling wave in terms of the sign of $c-c^*$, and further apply this result to obtain the existence of almost periodic traveling waves for nonautonomous SIS epidemic models.

       趙曉強(qiáng)教授簡(jiǎn)介： 校University Research Professorship榮譽(yù)獲得者。趙教授先后于1983年和1986年在西北大學(xué)數(shù)學(xué)系獲學(xué)士和碩士學(xué)位，1990年在中國(guó)科學(xué)院應(yīng)用數(shù)學(xué)研究所獲博士學(xué)位。趙教授長(zhǎng)期從事動(dòng)力系統(tǒng)、微分方程和生物數(shù)學(xué)相關(guān)領(lǐng)域的研究，在單調(diào)動(dòng)力學(xué)、一致持久性、行波解和漸近傳播速度、主特征值、基本再生數(shù)的理論及應(yīng)用等方面的系列工作受到同行的廣泛關(guān)注和引用。迄今為止，他已在“Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、 J. reine angew. Math.、 J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.” 等國(guó)際知名期刊上發(fā)表論文180余篇，并在Springer出版專著“Dynamical Systems  in Population Biology”。趙教授個(gè)人主頁(yè)：