GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS

DOI10.1142/S0218202513500553zbMath1293.35043MaRDI QIDQ5411762

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Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

angiogenesischemotaxishaptotaxishomogeneous steady stateelliptic-parabolic system coupled with an ODE

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
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• Mathematical modeling of the onset of capillary formation initiating angiogenesis

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