Existence and Spatial Decay of Forced Waves for the Fisher-KPP Equation with a Degenerate Shifting Environment

Zhibao Tang, Shi-Liang Wu, Yaping Wu

This paper studies forced waves for the heterogeneous Fisher-KPP equation $u_t=u_{xx}+u(a(x-ct)-u)$, where $c>0$ and $a(z)>0$ satisfies $a(-\infty )=\alpha >0=a(+\infty )$, $a^{\prime }(z)\le 0$…