We discuss the effects of dispersal (either random or biased) and spatial heterogeneity on
population dynamics via reaction–advection–diffusion models. We address the question of …

A general question in the study of the evolution of dispersal is what kind of dispersal
strategies can convey competitive advantages and thus will evolve. We consider a two …

We consider a two-species competition model in which the species have the same
population dynamics but different dispersal strategies. Both species disperse by a …

To understand the evolution of dispersal, we study a Lotka–Volterra reaction–diffusion–
advection model for two competing species in a heterogeneous environment. The two …

We consider a mathematical model of two competing species for the evolution of conditional
dispersal in a spatially varying, but temporally constant environment. Two species are …

To study evolution of conditional dispersal, a Lotka–Volterra reaction–diffusion–advection
model for two competing species in a heterogeneous environment is proposed and …

We address several conjectures raised in Cantrell et al.[Evolution of dispersal and ideal free
distribution, Math. Biosci. Eng. 7 (2010), pp. 17–36] concerning the dynamics of a diffusion …

We study a two-species competition model in a closed advective environment, where
individuals are exposed to unidirectional flow (advection) but no individuals are lost through …

We consider a two-species competition model in a one-dimensional advective environment,
where individuals are exposed to unidirectional flow. The two species follow the same …

We consider the ecological and evolutionary dynamics of a reactiondiffusion-advection
model for populations residing in a one-dimensional advective homogeneous environment …