Dynamics of General Class of Difference Equations and Population Model with Two Age Classes

Osama Moaaz, George E. Chatzarakis, Dimplekumar Chalishajar and Omar Bazighifan
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
George E. Chatzarakis: Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, Greece
Dimplekumar Chalishajar: Department of Applied Mathematics, Virginia Military Institute (VMI) 435 Mallory Hall, Lexington, VA 24450, USA
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen

Mathematics, 2020, vol. 8, issue 4, 1-13

Abstract: In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established. Moreover, by applying our general results on a population model with two age classes, we establish the qualitative behavior of solutions of this model. To support our results, we introduce some numerical examples.

Keywords: difference equations; equilibrium points; local and global stability; boundedness; periodic solution; population model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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