Approximate Solution of Tuberculosis Disease Population Dynamics Model | Zendy

Abdon Atangana | Zendy; Necdet Bıldık | Zendy

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Approximate Solution of Tuberculosis Disease Population Dynamics Model

Author(s) -

Abdon Atangana,

Necdet Bıldık

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/759801

Subject(s) - mathematics , nonlinear system , integer (computer science) , population , homotopy , population model , dynamics (music) , derivative (finance) , decomposition , mathematical optimization , computer science , pure mathematics , physics , demography , quantum mechanics , sociology , acoustics , financial economics , economics , programming language , ecology , biology

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

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