On monotone traveling waves for Nicholson ’s blowflies equation with degenerate P-Laplacian diffusion

AbstractWe study the existence and stability of monotone traveling wave solutions of Nicholson ’s blowflies equation with degeneratep-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.

Source: European Journal of Applied Physiology - April 16, 2024 Category: Physiology Source Type: research