Evolution of conditional dispersal: evolutionarily stable strategies in spatial models

KY Lam, Y Lou - Journal of mathematical biology, 2014 - Springer
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 …

Evolutionarily stable and convergent stable strategies in reaction–diffusion models for conditional dispersal

KY Lam, Y Lou - Bulletin of mathematical biology, 2014 - Springer
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 …

Some challenging mathematical problems in evolution of dispersal and population dynamics

Y Lou - Tutorials in mathematical biosciences IV: evolution and …, 2008 - Springer
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 …

The evolution of conditional dispersal strategies in spatially heterogeneous habitats

R Hambrock, Y Lou - Bulletin of mathematical biology, 2009 - Springer
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 …

Evolution of dispersal and the ideal free distribution

RS Cantrell, C Cosner, Y Lou - Mathematical Biosciences & …, 2009 - aimsciences.org
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 …

Evolution of conditional dispersal: a reaction–diffusion–advection model

X Chen, R Hambrock, Y Lou - Journal of mathematical biology, 2008 - Springer
To study evolution of conditional dispersal, a Lotka–Volterra reaction–diffusion–advection
model for two competing species in a heterogeneous environment is proposed and …

Evolution of dispersal in closed advective environments

KY Lam, Y Lou, F Lutscher - Journal of Biological Dynamics, 2015 - Taylor & Francis
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 …

Evolution of dispersal in open advective environments

Y Lou, F Lutscher - Journal of Mathematical Biology, 2014 - Springer
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 …

Competitive spatially distributed population dynamics models: does diversity in diffusion strategies promote coexistence?

E Braverman, M Kamrujjaman, L Korobenko - Mathematical biosciences, 2015 - Elsevier
We study the interaction between different types of dispersal, intrinsic growth rates and
carrying capacities of two competing species in a heterogeneous environment: one of them …

Population dynamics with resource-dependent dispersal: single-and two-species models

D Tang, ZA Wang - Journal of Mathematical Biology, 2023 - Springer
In this paper, we consider the population models with resource-dependent dispersal for
single-species and two-species with competition. For the single-species model, it is well …