Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Sing...
Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity
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Publisher
Cairo, Egypt: Hindawi Publishing Corporation
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Language
English
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Publisher
Cairo, Egypt: Hindawi Publishing Corporation
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Contents
This paper establishes the existence of a nontrivial steady-state solution to a parabolic-parabolic coupled system with singular (or logarithmic) sensitivity and nonlinear source arising from chemotaxis. The proofs mainly rely on the maximum principle, the implicit function theorem, and the Hopf bifurcation theorem.
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Full title
Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity
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TN_cdi_doaj_primary_oai_doaj_org_article_19c7efb00c7c4f32957479532f796ab7
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_19c7efb00c7c4f32957479532f796ab7
Other Identifiers
ISSN
1026-0226
E-ISSN
1607-887X
DOI
10.1155/2019/8140380
