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

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    These authors contributed equally to this work.)

  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, Greece
    These authors contributed equally to this work.)

  • Dimplekumar Chalishajar

    (Department of Applied Mathematics, Virginia Military Institute (VMI) 435 Mallory Hall, Lexington, VA 24450, USA
    These authors contributed equally to this work.)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
    Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Osama Moaaz & George E. Chatzarakis & Dimplekumar Chalishajar & Omar Bazighifan, 2020. "Dynamics of General Class of Difference Equations and Population Model with Two Age Classes," Mathematics, MDPI, vol. 8(4), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:516-:d:340828
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