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 - <p style="text-align: justify;">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.</p>