Global existence in the critical and subcritical cases to the Fisher-KPP model with nonlocal nonlinear reaction

Shen Bian

The Cauchy problem considered in this paper is the following \begin{align} \left\{ \begin{array}{ll} u_t=Δu+u^α\left(M_0- \int_{\mathbb{R}^n} u(x,t)dx\right),\quad & x \in \mathbb{…