2 problems

Let $u_*\equiv 0$ denote the trivial steady state of the nonlinear problem \, let $\mathcal{Y}$ be the parameter space, and let $\mathcal{R}:\mathcal{Y}\to\mathbb{R}$ be the net…

Let $u_*\equiv 0$ denote the trivial steady state of the nonlinear problem \. Assume that its linearisation exists, and that $E(0)={\bf 0}$. Net reproduction threshold conjecture…