Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer’s Topological Degree

Joshua, E.E. and Akpan, E.T. and Adebimpe, O. and Madubueze, C.E. (2017) Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer’s Topological Degree. British Journal of Mathematics & Computer Science, 20 (4). pp. 1-10. ISSN 2231-0851

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Abstract

The necessary conditions for existence of periodic solutions of an Extended RosenzweigMacArthur model are obtained using Brouwer’s degree. The forward invariant set is formulated to ensure the boundedness of the solutions, using Brouwers fixed point properties, and Zorns lemma. Also, sufficient conditions for the existence of a unique positive periodic solution have been established using Barbalats lemma and Lyapunovs functional. Numerical responses show that, the phase-flows of the non-autonomous system exhibit an asymptotically stable periodic solution which is globally attractive and trapped in the absorbing region.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 02 Oct 2019 12:37
Last Modified: 02 Oct 2019 12:37
URI: https://eprints.lmu.edu.ng/id/eprint/2470

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