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 …
S Rinaldi, S Muratori, Y Kuznetsov - Bulletin of mathematical Biology, 1993 - Elsevier
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 …
X Yu, S Yuan, T Zhang - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
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 …
S Ruan - Journal of Mathematical Biology, 1993 - Springer
We consider plankton-nutrient interaction models consisting of phytoplankton, herbivorous zooplankton and dissolved limiting nutrient with general nutrient uptake functions and …
X Meng, L Wang, T Zhang - J. Appl. Anal. Comput, 2016 - jaac-online.com
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 …