Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?

Masaaki Mizukami, Yuya Tanaka, Tomomi Yokota

This paper deals with the two-species chemotaxis-competition models \begin{align*} \begin{cases} u_t = d_1 Δu - χ_1 \nabla \cdot (u \nabla w) + μ_1 u (1- u^{κ_1-1} - a_1 v^{λ_1-1})…