数学研究(英文)2024,Vol.57Issue(3) :309-330.DOI:10.4208/jms.v57n3.24.05

Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary

Jian Fang Kaiyuan Tan
数学研究(英文)2024,Vol.57Issue(3) :309-330.DOI:10.4208/jms.v57n3.24.05

Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary

Jian Fang 1Kaiyuan Tan2
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作者信息

  • 1. Institute for Advanced Studies in Mathematics and School of Mathematics,Harbin Institute of Technology,Harbin 150001,China
  • 2. School of Mathematics,Harbin Institute of Technology,Harbin 150001,China
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Abstract

We propose a delay-induced nonlocal free boundary problem by modeling the invasion of a two-stage structured species,where the nonlocal interaction is caused jointly by time delay,free boundary and the diffusion.After establishing a comparison principle and a priori boundedness estimates,we prove the local and global existence of classical solutions for the model.

Key words

Reaction-diffusion equation/free boundary/time delay

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出版年

2024
数学研究(英文)
厦门大学教学科学学院

数学研究(英文)

影响因子:0.157
ISSN:2096-9856
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