Dynamics of General Class of Difference Equations and Population Model with Two Age Classes
Osama Moaaz,
George E. Chatzarakis,
Dimplekumar Chalishajar,
Omar Bazighifan
Affiliations
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
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.
