A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders
A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders
We address the uniqueness of the nonzero stationary state for a reaction-diffusion system of Fisher-KPP type that does not satisfy the comparison principle. Although the uniqueness is false in general, it turns out to be true under biologically natural assumptions on the parameters. This Liouville-type result is then used to …