Please use this identifier to cite or link to this item:
|Title:||Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary||Contributor(s):||Du, Yihong (author); Lin, Zhigui (author)||Publication Date:||2010||DOI:||10.1137/090771089||Handle Link:||https://hdl.handle.net/1959.11/7482||Abstract:||In this paper we investigate a diffusive logistic model with a free boundary in one space dimension. We aim to use the dynamics of such a problem to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. We prove a spreading-vanishing dichotomy for this model, namely the species either successfully spreads to all the new environment and stabilizes at a positive equilibrium state, or it fails to establish and dies out in the long run. Sharp criteria for spreading and vanishing are given. Moreover, we show that when spreading occurs, for large time, the expanding front moves at a constant speed. This spreading speed is uniquely determined by an elliptic problem induced from the original model.||Publication Type:||Journal Article||Source of Publication:||SIAM Journal on Mathematical Analysis, 42(1), p. 377-405||Publisher:||Society for Industrial and Applied Mathematics||Place of Publication:||Philadelphia, United States of America||ISSN:||0036-1410
|Field of Research (FOR):||010110 Partial Differential Equations||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 74
|Appears in Collections:||Journal Article|
Files in This Item:
checked on Nov 30, 2018
checked on Feb 8, 2019
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.