Pulse dynamics in a bistable reaction-diffusion system with chemotaxis (Q6593093)

The authors report the pulse dynamics in a bistable reaction-diffusion system with chemotaxis. The stability of the standing pulse is considered by two different methods. They show that chemotaxis could influence the Hopf and drift bifurcations and the collision of two traveling pulses. It also enlarges the bifurcation point and enhances the repulsive force between pulses so that the parameter region of the elastic collision becomes large. The conditions for the reliable calculation of pulse collision are also discussed.