The diffusive competition problem with a free boundary in heterogeneous time-periodic environment

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Chen, Qiaoling¹  Li, Fengquan¹  Wang, Feng¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

关键词: Diffusive competition problem;    Free boundary;    Heterogeneous time-periodic environment;    Spreading vanishing dichotomy;   

DOI  :  10.1016/j.jmaa.2015.08.062

来源: Elsevier

【 摘 要 】

In this paper, we consider the diffusive competition problem with a free boundary and sign-changing intrinsic growth rate in heterogeneous time-periodic environment, consisting of an invasive species with density u and a native species with density v. We assume that v undergoes diffusion and growth in R-N, and u exists initially in a ball B-h0 (0), but invades into the environment with spreading front {r = h(t)}. The effect of the dispersal rate d(1), the initial occupying habitat h(0), the initial density u(0) of invasive species u, and the parameter mu (see (1.3)) on the dynamics of this free boundary problem are studied. A spreading vanishing dichotomy is obtained and some sufficient conditions for the invasive species spreading and vanishing are provided. Moreover, when spreading of u happens, some rough estimates of the spreading speed are also given. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free