Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection

Abstract

The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.

Keywords

• nicholson's blowflies model
• delay
• advection
• periodic traveling waves
• numerical simulations