On monotone traveling waves for Nicholson’s blowflies equation with degenerate P-Laplacian diffusion
摘要
We study the existence and stability of monotone traveling wave solutions of Nicholson’s blowflies equation with degenerate p-Laplacian diffusion. We prove the existence and nonexistence of non-decreasing smooth traveling wave solutions by phase plane analysis methods. Moreover, we show the existence and regularity of an original solution via a compactness analysis. Finally, we prove the stability and exponential convergence rate of traveling waves by an approximated weighted energy method.