The chemostat is a basic piece of laboratory apparatus, yet it has begun to occupy an
increasingly central role in ecological studies. The ecological environment created by a …

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 …

One of the major problems in the study of evolution equations of mathematical physics is the
investigation of the behavior of the solutions to these equations when time is large or tends …

As one of the most quantitative of ecological subdisciplines, resource competition is an
important, central area of ecology. Recently research into this area has increased …

With the eutrophication of many freshwaters and coastal environments, phytoplankton
blooms have become a common phenomenon. This article uses a reaction-diffusion model …

The dynamics of competitive maps and semiflows defined on the product of two cones in
respective Banach spaces is studied. It is shown that exactly one of three outcomes is …

We investigate the effects of random motility on the ability of a microbial population to
survive in pure culture and to be a good competitor for scarce nutrient in mixed culture in a …

In this paper, we investigate a periodically pulsed bio-reactor model of a flowing water
habitat with a hydraulic storage zone in which no flow occurs. The full system can be …

One of the most severe problems associated with eutrophication of urban freshwater
ecosystems is the occurrence of increasingly frequent blooms of toxic cyanobacteria …

A diffusive Lotka–Volterra competition model is considered and the combined effect of
spatial dispersal and spatial variations of resource on the population persistence and …