Comput Methods Programs Biomed - Optimal control for SIRC epidemic outbreak.

Tópicos

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{ first(2504) two(1366) second(1323) }
{ intervent(3218) particip(2042) group(1664) }
{ time(1939) patient(1703) rate(768) }
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Resumo

In this paper the mathematical SIRC epidemic model is considered. It efficiently describes diseases in which a cross immune class (C) is present, along with the susceptible (S), the infected (I) and the removed (R) ones. Controlling epidemic diseases corresponds to the introduction of vaccination, quarantine and treatment strategies; generally only one of these actions is considered. In this paper the possibility of optimal controls both over the susceptible and the infected subjects is assumed, taking into account also limitations of resources. A suitable cost index is introduced and via the Pontryagin's Minimum Principle the optimal control strategy is determined and the existence of the optimal solution is assessed. Numerical results are developed analyzing the effects of different control strategies.

Resumo Limpo

paper mathemat sirc epidem model consid effici describ diseas cross immun class c present along suscept s infect remov r one control epidem diseas correspond introduct vaccin quarantin treatment strategi general one action consid paper possibl optim control suscept infect subject assum take account also limit resourc suitabl cost index introduc via pontryagin minimum principl optim control strategi determin exist optim solut assess numer result develop analyz effect differ control strategi

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