The diffusive logistic model with a free boundary in a heterogeneous time-periodic environment

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Ding, Weiwei¹  Peng, Rui²  Wei, Lei² 

[1] Univ New England, Sch Sci & Technol, Dept Math, Armidale, NSW 2351, Australia

[2] Jiangsu Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

关键词: Diffusive logistic equation;    Free boundary;    Advection;    Heterogeneous time-periodic environment;    Spreading-vanishing dichotomy;    Spreading speed;   

DOI  :  10.1016/j.jde.2017.04.013

来源: Elsevier

【 摘 要 】

\This paper is concerned with a diffusive logistic model with advection and a free boundary in a spatially heterogeneous and time periodic environment. Such a model may be used to describe the spreading of a new or invasive species with the free boundary representing the expanding front. Under more general assumptions on the initial data and the function standing for the intrinsic growth rate of the species, sharp criteria for spreading and vanishing are established, and estimates for spreading speed when spreading occurs are also derived. The obtained results considerably improve and complement the existing ones, especially those of [11,25]. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free