Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary
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@Article{JMS-57-309,
author = {Fang , Jian and Tan , Kaiyuan},
title = {Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {3},
pages = {309--330},
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n3.24.05}, url = {http://global-sci.org/intro/article_detail/jms/23491.html} }
TY - JOUR
T1 - Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary
AU - Fang , Jian
AU - Tan , Kaiyuan
JO - Journal of Mathematical Study
VL - 3
SP - 309
EP - 330
PY - 2024
DA - 2024/10
SN - 57
DO - http://doi.org/10.4208/jms.v57n3.24.05
UR - https://global-sci.org/intro/article_detail/jms/23491.html
KW - Reaction-diffusion equation, free boundary, time delay.
AB -
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.
Fang , Jian and Tan , Kaiyuan. (2024). Well-Posedness of a Nonlocal Stage-Structured Population Model with Free Boundary.
Journal of Mathematical Study. 57 (3).
309-330.
doi:10.4208/jms.v57n3.24.05
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