美獅貴賓官方網(wǎng)站學術(shù)報告
時間：2019年11月19日（周二）09：00-11：00
地點：工業(yè)中心506室
報告一
報告題目：Period function of Hamiltonian systems with separable variables
報告人簡介: 張祥，上海交通大學特聘教授（享受國務(wù)院特殊津貼，二級教授、博導），歐洲科學與藝術(shù)院院士。主要從事動力系統(tǒng)的定性、分支和可積理論的研究。所得結(jié)果部分發(fā)表在《American J. Math. Transactions of Amer. Math. Soc.》, 《Communications Math. Phys.》, 《J. Functional Analysis》, 《J. Nonlinear Sciences》 和《 J. Differential Equations》等國際一流數(shù)學雜志上。多次應(yīng)邀在歐美舉行的動力系統(tǒng)國際會議上做大會特邀報告。目前擔任中國數(shù)學會奇異攝動專業(yè)委員會主任，中國數(shù)學會理事，以及國際SCI雜志《Qualitative Theory of Dynamical Systems》和《International J. Bifurcation and Chaos》的Associate編委等。
內(nèi)容摘要：In this talk we intrudoce our recent results on the period function of planar Hamiltonian differential systems with separable variables. The results are on sufficient conditions for monotonicity of the period function and uniqueness of critical periods, and also on the limit of the period function near the boundary of the period annulus of the center.
報告二
報告題目：Wolbachia infection model with free boundary
報告人簡介: 郭志明，廣州大學數(shù)學與信息科學學院教授、博士生導師，第十一屆廣東省人大代表。2001年博士畢業(yè)于中山大學。多年來一直從事離散系統(tǒng)、泛函微分方程及生物數(shù)學模型的理論與應(yīng)用研究，在《Journal of Differential Equations》、《Journal of London Mathematical Society》、《Journal Dynamics and Differential Equations》、《Journal of Mathematical Biology》、《中國科學》等國際國內(nèi)重要刊物上發(fā)表論文60多篇，其中SCI收錄50多篇。先后主持國家自然科學基金3項、參加國家自然科學基金重點項目1項。
內(nèi)容摘要：Scientists have been seeking ways for many years to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question mathematically, we develop a reaction-diffusion model with free boundary in one-dimensional environment. We divide the female mosquito population into two groups: one is the uninfected mosquito population that grows in the whole region while the other is the mosquito population infected with Wolbachia that occupies a finite small region and invades the environment with a spreading front governed by a free boundary satisfying the well-known one-phase Stefan condition. For the resulting free boundary problem, we establish criteria for spreading and vanishing. Our results provide useful insights on designing feasible mosquito releasing strategy to invade the whole female mosquito population with Wolbachia infection and thus eventually eradicate the mosquito-borne diseases.
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美獅貴賓官方網(wǎng)站
2019年11月12日
