Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity

Author

Zhu, Yingjie

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-01-01

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhu, Yingjie. 2019. Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1146573

Modern Language Association (MLA)

Zhu, Yingjie. Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1146573

American Medical Association (AMA)

Zhu, Yingjie. Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1146573

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146573