3 papers
math.AP2026
Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
Rafael Díaz Fuentes, María Victoria Redondo Neble, Giuseppe Viglialoro
This paper investigates a {three-component} chemotaxis system involving both attraction and repulsion effects, as well as a nonlocal logistic-type source term. Mathematically, if $…
math.AP2025
Tumor-immune cell interactions by a fully parabolic chemotaxis model with logistic source
Rafael Díaz Fuentes
This work studies the existence of classical solutions to a class of chemotaxis systems reading \[\begin{cases} u_t = Δu-χ\nabla\cdot(u \nabla v) + μ_1 u^k -μ_2 u^{k+1}, & \text{in…
math.AP2024
Global existence and lower bounds in a class of tumor-immune cell interactions chemotaxis systems
Shanmugasundaram Gnanasekaran, Alessandro Columbu, Rafael Díaz Fuentes +1
This paper investigates the properties of classical solutions to a class of chemotaxis systems that model interactions between tumor and immune cells. Our focus is on examining the…