Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation

ABSTRACT In this paper, we consider a reaction–diffusion intraguild predation model with chemotaxis which describes the combined effects of competition and predation in a three‐component ecosystem. Here, is a bounded domain with smooth boundary and is a positive constant. Under homogeneous Neumann boundary conditions, we proved that if , this system admits a global classical solution which is bounded for any sufficiently smooth initial data. Notably, our result extends the 1‐D global existence result (see Remark 1.1).