Green’s Function of the Linearized Logarithmic Keller–Segel–Fisher/KPP System
We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation. We then linearize the system around a constant equilibrium state, and obtain a detailed, pointwise descrip...
Saved in:
Published in: | Mathematical and computational applications Vol. 23; no. 4; p. 56 |
---|---|
Main Authors: | , |
Format: | Journal Article |
Language: | English |
Published: |
MDPI AG
01-12-2018
|
Subjects: | |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation. We then linearize the system around a constant equilibrium state, and obtain a detailed, pointwise description of the Green’s function. The result provides a complete solution picture for the linear problem. It also helps to shed light on small solutions of the nonlinear system. |
---|---|
ISSN: | 2297-8747 2297-8747 |
DOI: | 10.3390/mca23040056 |