Stability and bifurcation of a simple food chain in a chemostat with removal rates

M.M.A. El-Sheikh and S.A.A. Mahrouf

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1475-1489

Abstract: In this paper we consider a model describing predator–prey interactions in a chemostat that incorporates genreal response functions and distinct removal rates. In this case, the conservation law fails. To overcome this problem, we use Liapunov functions in the study of the global stability of equlibria. Mathematical analysis of the model equations with regard to invariance of non-negativity, boundedness of solutions, dissipativity and persistence are studied. Hopf bifurcation theory is applied.

Date: 2005
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1475-1489

DOI: 10.1016/j.chaos.2004.06.079

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