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Presentation of malaria epidemics using multiple optimal controls
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نویسنده
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lashari a.a. ,aly s. ,hattaf k. ,zaman g. ,jung i.h. ,li x.-z.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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An existing model is extended to assess the impact of some antimalaria control measures,by re-formulating the model as an optimal control problem. this paper investigates the fundamental role of three type of controls,personal protection,treatment,and mosquito reduction strategies in controlling the malaria. we work in the nonlinear optimal control framework. the existence and the uniqueness results of the solution are discussed. a characterization of the optimal control via adjoint variables is established. the optimality system is solved numerically by a competitive gauss-seidel-like implicit difference method. finally,numerical simulations of the optimal control problem,using a set of reasonable parameter values,are carried out to investigate the effectiveness of the proposed control measures. copyright © 2012 abid ali lashari et al.
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آدرس
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center for advanced mathematics and physics,national university of sciences and technology, Pakistan, department of mathematics,faculty of science,king khalid university,abha 9004,saudi arabia,department of mathematics,faculty of science,al-azhar university, Egypt, department of mathematics and computer science,faculty of sciences ben m'sik,hassan ii university, Morocco, department of mathematics,university of malakand,chakdara dir (lower), Pakistan, department of mathematics,pusan national university, South Korea, department of mathematics,xinyang normal university, China
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Authors
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