A Within-host Tuberculosis Model Using Optimal Control
نویسندگان
چکیده
In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment tuberculosis. We considered an in-host that described interaction between Macrophages and Mycobacterium investigated effect treatments on uninfected macrophages. Optimal control is applied to show optimal effective strategies disease. The formula obtained using Hamiltonian function Pontryagin's maximum principle. Finally, perform numerical simulations support analytical results. results suggest or required if maximal transmission infection rate at which macrophages became infected large. tuberculosis.We controlis isobtained results.The thatcontrol
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ژورنال
عنوان ژورنال: JTAM (Jurnal Teori dan Aplikasi Matematika)
سال: 2021
ISSN: ['2597-7512', '2614-1175']
DOI: https://doi.org/10.31764/jtam.v5i1.3813