A Free Boundary Problem of the Diffusive Competition Model with Different Habitats

Huang，Haomin1; Liu，Siyu2; Wang，Mingxin3

2021

10.1007/s10884-021-10102-5

Journal of Dynamics and Differential Equations   影响因子和分区

1040-7294

1572-9222

In this paper we study a free boundary problem of the diffusive competition model with different habitats. It is assumed that the habitats of the two species u and v are (- ∞, g(t)) and (h(t) , ∞) , respectively, and g(0) < h(0). In their separate habitats, the two species obey the diffusive logistic equations. In their common habitat, they are in competition. We investigate the existence, uniqueness, regularity, uniform estimates and long time behavior of the global solution. Some sufficient conditions for the spreading and vanishing are also established.

Asymptotic behavior Competition model Different habitats Free boundary Sharp criteria

SCI

英语

第一

NSFC[11771110,11971128] ; China Postdoctoral Science Foundation[2019M662692]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000716242300002

SPRINGER

2-s2.0-85118645953

Scopus

1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518000,China
2.School of Mathematics and Statistics,Wuhan University,Wuhan,430000,China
3.School of Mathematics,Harbin Institute of Technology,Harbin,150001,China

Huang，Haomin,Liu，Siyu,Wang，Mingxin. A Free Boundary Problem of the Diffusive Competition Model with Different Habitats[J]. Journal of Dynamics and Differential Equations,2021.

Huang，Haomin,Liu，Siyu,&Wang，Mingxin.(2021).A Free Boundary Problem of the Diffusive Competition Model with Different Habitats.Journal of Dynamics and Differential Equations.

Huang，Haomin,et al."A Free Boundary Problem of the Diffusive Competition Model with Different Habitats".Journal of Dynamics and Differential Equations (2021).