Abstract
In this study, we consider the effects of chemotaxis and lateral inhibition on an activator in a three-component reaction–diffusion system. Simulation results show that spot, planar and travelling front solutions in two dimensions are destabilized to form multibranch patterns. In order to analyse the stability of stationary solutions, a singular perturbation method is employed. The bifurcation diagrams suggest that chemotaxis and lateral inhibition cooperatively result in the destabilization of the stationary solutions. Our three-component model is compared with the two-component chemotaxis-growth model. Furthermore, the conditions for observing the cooperative effects of chemotaxis and lateral inhibition on an activator in experiments are inferred from the model.
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