Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait

Abstract

We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in the case where an underlying principal eigenvalue is negative, we investigate the existence of travelling wave solutions. We identify a minimal speed $c^{\ast }>0$, and prove the existence of waves when $c\ge c^{\ast }$ and the non existence when $0\leq c

References in corpus (3)

• Nonlocal anisotropic dispersal with monostable nonlinearity
• Population structured by a space variable and a phenotypical trait
• Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration