6 problems

Consider the mutation-selection integro-PDE with trait $\xi\in(\underline\xi,\overline\xi)$, diffusion-dependent spatial movement, advection rate $\alpha>0$, positive constant grow…

Let $\Omega$ be a spatial domain, let $m\in C^2(\overline\Omega)$ be strictly positive, and let $d>0$. For an evolutionarily singular strategy $\alpha^*=\alpha^*(d)$ satisfying … a…

Let $\Omega$ be a spatial domain, let $m\in C^2(\overline\Omega)$ be strictly positive, and let $d>0$. An evolutionarily singular strategy is a strategy $\alpha^*$ satisfying … whe…

Consider the two-species river competition system with diffusion rates $d,D>0$, common advection rate $\alpha>0$, growth rate $r(x)$, upstream flux boundary conditions, and zero Di…

Consider the two-species river competition model on $(0,L)$ with positive decreasing growth rate $r(x)$, common advection rate $\alpha>0$, diffusion rates $d,D>0$, and semi-trivial…

Consider the Speirs–Gurney model on $(0,L)$ with diffusion rate $d$, advection rate $\alpha>0$, growth rate $r>0$, and lethal downstream boundary condition, whose persistence condi…