National Key R&D Program of China,No.2022YFA0911802,Zhi-Long Xiu,2022YFA0911804,Zhi-Long Xiu。
Cell immobilization plays an important role in biocatalysis for high-value products.It is necessary to maintain the viability of immobilized cells for bioconversion using viable cells as biocatalysts.In this study,a n...
This paper considers the production of biomass of two interconnected chemostats in series with biomass mortality and a growth kinetic of the biomass described by an increasing function.A comparison is made with the pr...
The objective of this study is to analyze a chemostat model of very simple type with the Haldane expression of growth rate and a variable yield coefficient. The proposed modified model is analyzed qualitatively and qu...
Supported by the National Natural Science Foundation of China(Grant No.61763040);Longnan Science and Technology Guiding Plan Program(Grant No.2019-ZD-14).
In this paper,we propose two species competition model in a chemostat that uses a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient.By the theory of semigroup,the ex...
The objective of this study is to analyze a model of competition for one resource in the chemostat with general interspecific density-dependent growth rates,taking into account the predator–prey relationship.This rel...
the National Natural Science Foundation of P.R.China(No.11871473).
In this paper,we consider two chemostat models w th random perturbation,in which single species depends on two perfectly substitutable resources for growth.For the autonomous system,we first prove that the solution of...
This paper formulates and studies a delayed ehemostat with Levy noises.Existence of the glohally positive solution is proved first by establishing suitable Lyapunov functions,and a further result on exact Lyapunov exp...
National Natural Science Foundation of China(No.11571227)
A chemostat model with maintenance energy and crossdiffusion is considered,and the formation of patterns is caused by the cross-diffusion. First, through linear stability analysis, the necessary conditions for the for...
In this paper, I consider two species feeding on limiting substrate in a chemostat taking into account some possible effects of each species on the other one. System of differential equations is proposed as model of t...