Year: 2026
Type: article
Abstract: In this paper, a complete analysis is presented to study a reaction–diffusion system of general gene expression with two time delays and with Neumann boundary conditions. The global existence of a unique strong solution and the existence of an attractor are established. Using delays as bifurcation parameters, we obtain critical values so that the Hopf bifurcation occurs at a unique equilibrium point. Numerical simulations are provided to illustrate both the stability of the equilibrium point and the emergence of bifurcations. For steady-state solutions, the Maximum Principle is used to obtain the bounds of positive solutions. The conditions for the system to have constant solutions are also investigated.
Source: Mathematics
DOI: 10.3390/math14030563
Authors: Xiaoqin Wu, Liancheng Wang
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7127621100