Global Boundedness of Solutions to a Food Chain Model with Nonlinear Taxis Sensitivity

In this paper, we investigate the initial boundary value problem of a three-species spatial food chain model with nonlinear taxis sensitivity in a bounded domain \(\Omega \subset {\mathbb {R}}^2\) $\mathrm{\Omega }\subset {\mathbb{R}}^2$ with a smooth boundary and homogeneous Neumann boundary conditions. By establishing a new energy functional, we demonstrate the global boundedness of classical solutions under appropriate initial data.