The simulation of some chemotactic bacteria patterns in liquid medium which arises in tumor growth with blow-up phenomena via a generalized smoothed particle hydrodynamics (GSPH) method

Abstract

In the recent decades, the biological models have been noticed to find a suitable numerical procedure. Among the biological models, equations in tumor growth have many applications. In the current paper, we consider some equations in chemotaxis and haptotaxis models. The studied models have blow-up phenomena in their solutions. In addition, the proposed numerical technique is based on a meshless method that is well-known generalized smoothed particle hydrodynamics (SPH) method.