Advances in Applied Mathematics by Ali R. Ansari (eds.)

By Ali R. Ansari (eds.)

This quantity includes contributions from the Gulf overseas convention in utilized arithmetic, held on the Gulf collage for technological know-how & expertise. The complaints displays the 3 significant issues of the convention. the 1st of those used to be mathematical biology, together with a keynote deal with by way of Professor Philip Maini. the second one subject was once computational science/numerical research, together with a keynote handle via Professor Grigorii Shishkin. The convention additionally addressed extra basic functions issues, with papers in enterprise functions, fluid mechanics, optimization, scheduling difficulties and engineering functions, in addition to a keynote via Professor Ali Nayfeh.

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The cost associated with treatment will include the cost of medical examinations, drugs and hospitalization with the treatment of HIV being lifelong, thus making it the costliest. 0/ D 0. Numerical simulations are consistent for all the scenarios under consideration, varying only in the margins of growth and reduction. We, consequently, only present and discuss results for the most cost-effective combination, which is no prevention to HIV infection. In Fig. 2a, the number of the substance-abusing individuals is lower under control as contrasted to without control.

N u1 /Â2 . S2 /. 1 C u3 /!. I1 / I2 I2 /g S2 I2 / I1 S1 / S2 I2 C I1 A/ u4 /ı2 . 1 u2 /. ˛ C / SI ; dt N2 C u4 /ı1 . 1 SI where P D P. 1 SI S2 / S1 D S1 . I1 C I2 /; I1 / S1 C S2 . T / D 0: (11) The values of the optimal control variables at each instant are found by noting that each minimizes the Hamiltonian and thus must satisfy the necessary condition @H D 0. Coupled with standard control arguments involving the bounds on the @ui controls yields the following expressions for the optimal controls: u1 D min 1; max 0; u2 D min 1; max 0; Â1 S1 .

Co-occurring psychiatric symptoms and drug dependence or heavy drinking among HIV-positive people. J. Psychoac. Drugs 35(Suppl 1), 153–160 (2003) 6. : A theoretical model for substance abuse in the presence of treatment. South African J. Sci.. 108(3/4), 12 (2012). 654 7. : Assessing the effects of drug use on the transmission dynamics of HIV/AIDS. P. ) Understanding the Dynamics of Emerging and Re-Emerging Infectious Diseases Using Mathematical Models, pp. 105–131. (2012). ISBN:978-81-7895-549-0 8.

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