Global existence and boundedness of classical solutions to the Owen–Sherratt model

DOI10.1142/S1793557116500042zbMath1381.35074OpenAlexW1840348570MaRDI QIDQ2806080

Khadijeh Baghaei, Mahmoud Hesaaraki

Publication date: 13 May 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500042

zbMATH Keywords

boundednessglobal existenceimmune system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

Cites Work

• Geometric theory of semilinear parabolic equations
• Preventing blow up in a chemotaxis model
• Spatiotemporal effects of a possible chemorepulsion of tumor cells by immune system effectors
• On the global existence of solutions to an aggregation model
• MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS

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