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 …

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 …

Although mathematical modelling has reached a degree of maturity in the last decades,
microbial ecology is still developing, albeit at a rapid pace thanks to new insights provided …

A classical predator-prey model is considered in this paper with reference to the case of
periodically varying parameters. Six elementary seasonality mechanisms are identified and …

To investigate the effects of stochasticity and seasonality on the dynamics of aquatic
ecosystems, in this paper, we propose two stochastic nutrient-plankton food chain models …

We consider plankton-nutrient interaction models consisting of phytoplankton, herbivorous
zooplankton and dissolved limiting nutrient with general nutrient uptake functions and …

This paper intends to develop a new method to obtain the threshold of an impulsive
stochastic chemostat model with saturated growth rate in a polluted environment. By using …

Mixed‐species batch cultures were used to measure kinetics of phosphorus‐dependent
growth for 11 species of freshwater algae. Results were fitted to the Monod model, and …

It is shown that a chemostat with two organisms can be made coexistent by means of
feedback control of the dilution rate. Remaining freedom in the feedback law can be used to …