Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions

DOI10.1051/MMNP/2017078zbMath1387.35583OpenAlexW2784019210MaRDI QIDQ4607596

Mostafa Adimy, Toshikazu Kuniya, Abdennasser Chekroun

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2017078

zbMATH Keywords

Dirichlet boundary conditionsLyapunov functionalcell dynamicstime-delayed reaction-diffusion equationage-space-structured PDEexistence and uniqueness of positive steady state

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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