Open Access
2014 Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables
Muhammad Altaf Khan, Saeed Islam, Sher Afzal Khan, Ilyas Khan, Sharidan Shafie, Taza Gul
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/619035


Leptospirosis is an infectious disease that damages the liver and kidneys, found mainly in dogs and farm animals and caused by bacteria. In this paper, we present the optimal control problem applied to a dynamical leptospirosis infected vector and human population by using multiple control variables. First, we show the existence of the control problem and then use analytical and numerical techniques to investigate the existence cost effective control efforts for prevention of indirect and direct transmission of this disease. In order to do this, we consider three control functions two for human and one for vector population. We completely characterize the optimal control problem and compute the numerical solution of the optimality system using an iterative method.


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Muhammad Altaf Khan. Saeed Islam. Sher Afzal Khan. Ilyas Khan. Sharidan Shafie. Taza Gul. "Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022737
MathSciNet: MR3285160
Digital Object Identifier: 10.1155/2014/619035

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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