A comparison of some control strategies for a non-integer order tuberculosis model | Zendy

Tuğba Akman | Zendy

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A comparison of some control strategies for a non-integer order tuberculosis model

Author(s) -

Tuğba Akman

Publication year - 2019

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2019.00657

Subject(s) - fractional calculus , mathematical optimization , mathematics , order (exchange) , integer (computer science) , negativity effect , control (management) , derivative (finance) , control theory (sociology) , optimal control , hamiltonian (control theory) , pontryagin's minimum principle , computer science , artificial intelligence , economics , psychology , social psychology , finance , financial economics , programming language

The aim of this paper is to investigate some optimal control strategies for a generalized tuberculosis model consisting of four compartments. We construct the model with the use of Caputo time fractional derivative. Contribution of distancing control, latent case finding control, case holding control and their combinations are discussed and the optimality system is obtained based on the Hamiltonian principle. Additionally, the non-negativity and boundedness of the solution are shown. We present some illustrative examples to determine the most effective strategy to minimize the number of infected people and maximize the number of susceptible individuals. Moreover, we discuss the contribution of the Caputo derivative and the order of the fractional derivative to efficiency of the control strategies.

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