Work

Global Existence for the Cauchy Problem of the Parabolic–Parabolic–ODE Chemotaxis Model with Indirect Signal Production on the Plane

Year: 2025

Type: article

Abstract: This paper establishes the global existence of solutions to a chemotaxis system with indirect signal production in the whole two-dimensional space. This system exhibits a mass threshold phenomenon governed by a critical mass mc=8πδ, where δ represents the decay rate of the static individuals. When the total initial mass m=∫R2u0dx

Source: Mathematics

DOI: 10.3390/math13162624

Authors: Qian Liu, Dan Li

Institutions: Shaoyang University, Chengdu University of Technology

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Science Foundation, National Natural Science Foundation of China