Dynamics of General Class of Difference Equations and Population Model with Two Age Classes
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 <inline-formula> <math display="inline"> <semantics> <mrow> <...
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| Format: | Article |
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MDPI AG
2020-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/4/516 |
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| author | Osama Moaaz George E. Chatzarakis Dimplekumar Chalishajar Omar Bazighifan |
| author_facet | Osama Moaaz George E. Chatzarakis Dimplekumar Chalishajar Omar Bazighifan |
| author_sort | Osama Moaaz |
| collection | DOAJ |
| description | 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mn>2</mn> <mi>k</mi> </mrow> </semantics> </math> </inline-formula>) 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. |
| first_indexed | 2024-03-10T20:41:55Z |
| format | Article |
| id | doaj.art-5ee1955a523e4f2f9fe8da45140fe042 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T20:41:55Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5ee1955a523e4f2f9fe8da45140fe0422023-11-19T20:34:32ZengMDPI AGMathematics2227-73902020-04-018451610.3390/math8040516Dynamics of General Class of Difference Equations and Population Model with Two Age ClassesOsama Moaaz0George E. Chatzarakis1Dimplekumar Chalishajar2Omar Bazighifan3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, GreeceDepartment of Applied Mathematics, Virginia Military Institute (VMI) 435 Mallory Hall, Lexington, VA 24450, USADepartment of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, YemenIn 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mn>2</mn> <mi>k</mi> </mrow> </semantics> </math> </inline-formula>) 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.https://www.mdpi.com/2227-7390/8/4/516difference equationsequilibrium pointslocal and global stabilityboundednessperiodic solutionpopulation model |
| spellingShingle | Osama Moaaz George E. Chatzarakis Dimplekumar Chalishajar Omar Bazighifan Dynamics of General Class of Difference Equations and Population Model with Two Age Classes Mathematics difference equations equilibrium points local and global stability boundedness periodic solution population model |
| title | Dynamics of General Class of Difference Equations and Population Model with Two Age Classes |
| title_full | Dynamics of General Class of Difference Equations and Population Model with Two Age Classes |
| title_fullStr | Dynamics of General Class of Difference Equations and Population Model with Two Age Classes |
| title_full_unstemmed | Dynamics of General Class of Difference Equations and Population Model with Two Age Classes |
| title_short | Dynamics of General Class of Difference Equations and Population Model with Two Age Classes |
| title_sort | dynamics of general class of difference equations and population model with two age classes |
| topic | difference equations equilibrium points local and global stability boundedness periodic solution population model |
| url | https://www.mdpi.com/2227-7390/8/4/516 |
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