Global stability for the prion equation with general incidence

DOI10.3934/mbe.2015.12.789zbMath1369.92118arXiv1406.1807OpenAlexW1997694639WikidataQ50914763 ScholiaQ50914763MaRDI QIDQ888649

Pierre Gabriel

Publication date: 2 November 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1807

zbMATH Keywords

stabilityself-similaritylong-time behaviorspectral gapgrowth-fragmentation equationprion equation

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (7)

Uniqueness of weak solutions to a prion equation with polymer joining ⋮ Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a Banach space ⋮ A new structure entropy of complex networks based on nonextensive statistical mechanics and similarity of nodes ⋮ Existence of global classical and weak solutions to a prion equation with polymer joining ⋮ Long-time asymptotics for polymerization models ⋮ Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem

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