Competition Model in a Chemostat with Monotone Functional Response
نویسندگان
چکیده
منابع مشابه
Global Dynamics of a Chemostat Competition Model with Distributed Delay
We study the global dynamics of n-species competition in a chemo-stat with distributed delay describing the time-lag involved in the conversion of nutrient to viable biomass. The delay phenomenon is modelled by the gamma distribution. The linear chain trick and a uctuation lemma are applied to obtain the global limiting behavior of the model. When each population can survive if it is cultured a...
متن کاملCompetition in a Chemostat with Wall Attachment
A mathematical model of microbial competition for limiting nutrient and wallattachment sites in a chemostat, formulated by Freter et al. in their study of the colonization resistance phenomena associated with the gut microflora, is mathematically analyzed. The model assumes that resident and invader bacterial strains can colonize the fluid environment of the vessel as well as its bounding surfa...
متن کاملn-Species Competition in a Periodic Chemostat
A threshold result on the global dynamics of the scalar asymptotically periodic Kolmogorov equation is proved and then applied to models of single species growth and n-species competition in a periodically operated chemo-stat. The operating parameters and the species speciic response functions can be periodic functions of time. Species speciic removal rates are also permitted. Suucient conditio...
متن کاملA Discrete-delayed Model with Plasmid-bearing, Plasmid-free Competition in a Chemostat
A discrete-delayed model of plasmid-bearing, plasmid-free organisms competing for a single-limited nutrient in a chemostat is established. Rigorous mathematical analysis of the asymptotic behavior of this model is presented. An interesting method to analyze the local stability of interior equilibrium is developed. The argument is also applicable to a model of plasmidbearing, plasmid-free organi...
متن کاملGlobal Stability for a Model of Competition in the Chemostat with Microbial Inputs
We propose a model of competition of n species in a chemostat, with constant input of some species. We mainly emphasize the case that can lead to coexistence in the chemostat in a non-trivial way, i.e., where the n − 1 less competitive species are in the input. We prove that if the inputs satisfy a constraint, the coexistence between the species is obtained in the form of a globally asymptotica...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: GANIT: Journal of Bangladesh Mathematical Society
سال: 1970
ISSN: 2224-5111,1606-3694
DOI: 10.3329/ganit.v30i0.8507