Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with time delay |
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| Authors: | AF Nindjin MA Aziz-Alaoui M Cadivel |
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| Institution: | aLaboratoire de Mathématiques Appliquées, Université de Cocody, 22 BP 582, Abidjan 22, Côte d’Ivoire, France;bLaboratoire de Mathématiques Appliquées, Université du Havre, 25 rue Philippe Lebon, B.P. 540, 76058 Le Havre Cedex, France |
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| Abstract: | Two-dimensional delayed continuous time dynamical system modeling a predator–prey food chain, and based on a modified version of Holling type-II scheme is investigated. By constructing a Liapunov function, we obtain a sufficient condition for global stability of the positive equilibrium. We also present some related qualitative results for this system. |
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| Keywords: | Time delay Boundedness Permanent Local stability Global stability Liapunov functional |
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