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Open AccessArticle

Global Analysis and the Periodic Character of a Class of Difference Equations

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Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121 N. Heraklio, Athens, Greece
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Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
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Department of Mathematics, Faculty of Science, Benghazi 0021861, Libya
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Author to whom correspondence should be addressed.
Axioms 2019, 8(4), 131; https://doi.org/10.3390/axioms8040131
Received: 22 July 2019 / Revised: 21 August 2019 / Accepted: 30 August 2019 / Published: 15 November 2019
(This article belongs to the Special Issue Numerical Computation and Nonlinear Dynamical Systems)
In biology, difference equations is often used to understand and describe life phenomenon through mathematical models. So, in this work, we study a new class of difference equations by focusing on the periodicity character, stability (local and global) and boundedness of its solutions. Furthermore, this equation involves a May’s Host Parasitoid Model, as a special case. View Full-Text
Keywords: difference equations; stability; boundedness; periodicity character; may’s host parasitoid model difference equations; stability; boundedness; periodicity character; may’s host parasitoid model
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Chatzarakis, G.E.; Elabbasy, E.M.; Moaaz, O.; Mahjoub, H. Global Analysis and the Periodic Character of a Class of Difference Equations. Axioms 2019, 8, 131.

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