Finite-time blow-up in a quasilinear fully parabolic attraction-repulsion chemotaxis system with density-dependent sensitivity

This article concerns the quasilinear fully parabolic attraction-repulsion chemotaxis system uₜ= ( (u+1) ^m-1 u - u (u+1) ^{p-2 v + u (u+1) ^p-2 w), x, \; t>0, vₜ= v+ u- v, x, \; t>0, wₜ= w+ u- w, x, \; t>0 } with homogeneous Neumann boundary conditions, where \ (Rⁿ\) \ ( (n \2, 3\) \) is an open ball, \ (m, p R\), \ (, , , , , >0\) are constants. The main result asserts finite-time blow-up of solutions to this system with some positive initial data when \ (- >0\), \ (p 2\) and \ (p-m>2/n\). For more information see https: //ejde. math. txstate. edu/Volumes/2025/81/abstr. html