Blow-up of nonradial solutions to attraction–repulsion chemotaxis system in two dimensions

This paper deals with the attraction–repulsion chemotaxis system {ut=Δu−χ∇⋅(u∇v)+ξ∇⋅(u∇w),x∈Ω,t>0,0=Δv+αu−βv,x∈Ω,t>0,0=Δw+γu−δw,x∈Ω,t>0, under homogeneous Neumann boundary conditions in a smooth bounded domain in R2R2. We study the finite-time blowup of nonradial solutions in the parameter values χα−ξγ>0χα−ξγ>0 and β≠δβ≠δ.