Approximate Solution of Tuberculosis Disease Population Dynamics Model
We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. The approximate solutions are obtained via the relatively new analytical technique, the homotopy decomposition method (HDM). The t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/759801 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545482098868224 |
|---|---|
| author | Abdon Atangana Necdet Bildik |
| author_facet | Abdon Atangana Necdet Bildik |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. The approximate solutions are obtained via the relatively new analytical technique, the homotopy decomposition method (HDM). The technique is described and illustrated with numerical example. The numerical simulations show that the approximate solutions are continuous functions of the noninteger-order derivative. The technique used for solving these problems is friendly, very easy, and less time consuming. |
| format | Article |
| id | doaj-art-fab92a7e96c64245b7f4a146c6822a11 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fab92a7e96c64245b7f4a146c6822a112025-02-03T07:25:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/759801759801Approximate Solution of Tuberculosis Disease Population Dynamics ModelAbdon Atangana0Necdet Bildik1Institute for Groundwater Studies, University of the Free State, P.O. Box 9300, Bloemfontein, South AfricaDepartment of Mathematics, Faculty of Art & Sciences, Celal Bayar University, Muradiye Campus, 45047 Manisa, TurkeyWe examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. The approximate solutions are obtained via the relatively new analytical technique, the homotopy decomposition method (HDM). The technique is described and illustrated with numerical example. The numerical simulations show that the approximate solutions are continuous functions of the noninteger-order derivative. The technique used for solving these problems is friendly, very easy, and less time consuming.http://dx.doi.org/10.1155/2013/759801 |
| spellingShingle | Abdon Atangana Necdet Bildik Approximate Solution of Tuberculosis Disease Population Dynamics Model Abstract and Applied Analysis |
| title | Approximate Solution of Tuberculosis Disease Population Dynamics Model |
| title_full | Approximate Solution of Tuberculosis Disease Population Dynamics Model |
| title_fullStr | Approximate Solution of Tuberculosis Disease Population Dynamics Model |
| title_full_unstemmed | Approximate Solution of Tuberculosis Disease Population Dynamics Model |
| title_short | Approximate Solution of Tuberculosis Disease Population Dynamics Model |
| title_sort | approximate solution of tuberculosis disease population dynamics model |
| url | http://dx.doi.org/10.1155/2013/759801 |
| work_keys_str_mv | AT abdonatangana approximatesolutionoftuberculosisdiseasepopulationdynamicsmodel AT necdetbildik approximatesolutionoftuberculosisdiseasepopulationdynamicsmodel |