Abstract：
:This paper deals with a two-microbial species model in competition for a single-resource in the chemostat including general intra- and interspecific density-dependent growth rates with distinct removal rates for each species. In order to understand the effects of intra- and interspecific interference, this general model is first studied by determining the conditions of existence and local stability of steady states. With the same removal rate, the model can be reduced to a planar system and then the global stability results for each steady state are derived. The bifurcations of steady states according to interspecific interference parameters are analyzed in a particular case of density-dependent growth rates which are usually used in the literature. The operating diagrams show how the model behaves by varying the operating parameters and illustrate the effect of the intra- and interspecific interference on the disappearance of coexistence region and the occurrence of bi-stability region. Concerning the small enough interspecific interference terms, we would shed light on the global convergence towards the coexistence steady state for any positive initial condition. When the interspecific interference pressure is large enough this system exhibits bi-stability where the issue of the competition depends on the initial condition.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Fekih-Salem R,Lobry C,Sari Tdoi
10.1016/j.mbs.2017.02.007subject
Has Abstractpub_date
2017-04-01 00:00:00pages
104-122eissn
0025-5564issn
1879-3134pii
S0025-5564(17)30079-2journal_volume
286pub_type
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