Pattern formation in a reaction-diffusion parasite-host model

In this paper, we investigate the Turing pattern formation of a reaction-diffusion parasite-host model analytically and numerically. We give the stability of the constant positive steady-state which shows that the model exhibits stationary Turing pattern as a result of diffusion. Via numerical simulations, we present the pattern formation and find that the model dynamics exhibits a diffusion-controlled formation growth of "spots -> spots-stripes -> stripes -> holes-stripes -> holes" pattern replication. The results show that we must do our best to regulate the parameters in the special range to avoid disease outbreak. (C) 2019 Published by Elsevier B.V.