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    講座預告:王金鳳教授談“Persistence and extinction dynamics in reaction-diffusion population models with strong Allee effect growth”

    來源 : 理學院     作者 : 理學院     時間 : 2020-10-30  訪問量 : 15

    時間:2020112(周一)上午10

    地點:勤園21號樓306學術報告廳

    主講人:王金鳳教授,哈爾濱師范大學數學科學學院教授、黑龍江省高校青年學術骨干,黑龍江省數學會理事。 主要從事微分方程、動力系統定性理論及應用的研究工作,已在J.Diff.Equ.、J.Dyn.Diff.Equ.、,J.Math.Biol.、DCDS-B等國際主流學術期刊上發表SCI學術論文20余篇,研究工作多次受到國家自然科學基金、黑龍江省自然科學基金的資助。

    內容簡介:A reaction-diffusion-advection equation with strong Allee effect growth rate is proposed to model a single species stream population in a unidirectional flow. Here random undirected movement of individuals in the environment is described by passive diffusion, and an advective term is used to describe the directed movement in a river caused by the flow. Under biologically reasonable boundary conditions, the existence of multiple positive steady states is shown when both the diffusion coefficient and the advection rate are small, which lead to different asymptotic behavior for different initial conditions. On the other hand, when the advection rate is large, the population becomes extinct regardless of initial condition under most boundary conditions. It is shown that the population persistence or extinction depends on Allee threshold, advection rate, diffusion coefficient and initial conditions, and there is also rich transient dynamical behavior before the eventual population persistence or extinction.


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