【Colloquium】Dr. Xueli Bai: Classification of global dynamics of competition models with nonlocal dispersals
时间:2016-11-26  浏览:

SpeakerDr. Xueli Bai, Northwestern Polytechnical University

TitleClassification of global dynamics of competition models with nonlocal dispersals

Time2016-11-29, 11:00 -12:00

VenueRoom 316 of Environment Building, Renmin University

Abstract In this talk, the global dynamics of two-species Lotka-Volterra competition models with nonlocal dispersals is studied. Under the assumption that dispersal kernels are symmetric and weak competition bc<1, we prove that local stability implies global stability. Moreover, for the critical case bc=1, we prove there may exist infinite many steady state, and we show that each solution must converge to one of them.