Publisher Summary This chapter discusses a restricted but useful class of dynamical
systems—, namely, those enjoying a comparison principle with respect to a closed order …

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Population dynamics is an important subject in mathematical biology. A central problem is to
study the long-term behavior of modeling systems. Most of these systems are governed by …

We consider n phenotypes of a species in a continuous but heterogeneous environment. It is
assumed that the phenotypes differ only in their diffusion rates. With haploid genetics and a …

We first investigate in a logistic model the effects of migration and spatial heterogeneity of
the environment on the total population size at equilibrium of a single species. Our study …

Abstract We study a Lotka–Volterra type reaction–diffusion–advection system, which
describes the competition for the same resources between two aquatic species undergoing …

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 …

Planar competitive and cooperative difference equations Page 1 Jounrol ol Drl'li~rm r.
Eqrnrriorn ~ tnd Applk~trk~n.~ 1998. Vol. 3. pp. 335- 357 Reprints ava~lahle directly Rom the …

In this paper, we study a classical two species Lotka–Volterra competition–diffusion–
advection system, where the diffusion and advection rates of two competitors are supposed …

This book introduces some basic mathematical tools in reaction-diffusion models, with
applications to spatial ecology and evolutionary biology. It is divided into four parts. The first …