Auto-oscillation of a generalized Gause type model with a convex contraint

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dc.contributor.authorDEGLA, AYMARD GUY
dc.contributor.authorDEGBO, Seyive Jean-Marie
dc.contributor.authorDOSSOU-YOVO, Marie-Louise
dc.date.accessioned2026-06-02T16:06:57Z
dc.date.available2026-06-02T16:06:57Z
dc.date.issued2023
dc.description.abstractIn this paper, we study the generalized Gause model in which the functional and numerical responses of the predators need not be monotonic functions and the intrinsic mortality rate of the predators is a variable function. As a result, we have established sufficient conditions for the existence, uniqueness and global stability of limit cycles confined in a closed convex nonempty set, by relying on a recent Lobanova and Sadovskii theorem. Moreover, we prove sufficient conditions for the existence of Hopf bifurcation. Eventually using scilab, we illustrate the validity of the results with numerical simulations
dc.identifier.doi10.22436/jnsa.016.01.06
dc.identifier.otherBECDB-15786
dc.identifier.urihttps://dspace.uac.bj/handle/123456789/13338
dc.language.isofr
dc.relation.ispartofJournal of Nonlinear Science and Applications
dc.subjectGeneralized Gause model
dc.subjectnonmonotonic numerical responses
dc.subjectnonconstant death rate
dc.subjectconvex constraint
dc.subjectglobal
dc.subjectstability
dc.subjectlimit cycle
dc.subjectHopf bifurcation
dc.subjectfirst Lyapunov number.
dc.titleAuto-oscillation of a generalized Gause type model with a convex contraint
dc.typeArticle

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