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)學(xué)院院長(zhǎng)戎海武教授和吳楚芬教授的邀請(qǐng),，加拿大紐芬蘭紀(jì)念大學(xué)趙曉強(qiáng)教授于7月4日,，在致用樓501開展了主題關(guān)于“Spatial Dynamics of Species with Annually Synchronized Emergence of Adults”的學(xué)術(shù)報(bào)告,。院長(zhǎng)戎海武教授主持學(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 research on the spatial dynamics of species growth with annually synchronous emergence of adults by formulating an impulsive reaction-diffusion model. With the aid of the discrete-time semiflow generated by the one-year solution map, we establish the existence of the spreading speed and traveling waves for the model on an unbounded spatial domain. It turns out that the spreading speed coincides with the minimal speed of traveling waves, regardless of the monotonicity of the birth rate function. We also investigate the model on a bounded domain with a lethal exterior to determine the critical domain size to reserve species persistence. Numerical simulations are illustrated to confirm the analytical results and to explore the effects of the emergence maturation delay on the spatial dynamics of the population distribution. In particular, the relationship between the spreading speed and the emergence maturation delay is found to be counterintuitively variable.

       趙曉強(qiáng)教授簡(jiǎn)介： 加拿大紐芬蘭紀(jì)念大學(xué)數(shù)學(xué)與統(tǒng)計(jì)系教授，該校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：