Free boundary problem for a nonlocal time-periodic diffusive competition model-Reference-Cited by-同舟云学术

Free boundary problem for a nonlocal time-periodic diffusive competition model

Published:2023 Issue:9 Volume:20 Page:16471-16505
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Chen Qiaoling¹²,Li Fengquan³,Tang Sanyi¹,Wang Feng⁴

Affiliation:

1. School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710062, China

2. School of Science, Xi'an Polytechnic University, Xi'an 710048, China

3. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

4. School of Mathematics and Statistics, Xidian University, Xi'an 710071, China

Abstract

<abstract><p>In this paper we consider a free boundary problem for a nonlocal time-periodic competition model. One species is assumed to adopt nonlocal dispersal, and the other one adopts mixed dispersal, which is a combination of both random dispersal and nonlocal dispersal. We first prove the global well-posedness of solutions to the free boundary problem with more general growth functions, and then discuss the spreading and vanishing phenomena. Moreover, under the weak competition condition, we study the long-time behaviors of solutions for the spreading case.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference51 articles.

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