Universiti Teknologi Malaysia Institutional Repository

Prevention of leptospirosis infected vector and human population by multiple control variables

Muhammadaltaf, Khan and Islam, Saeed Ul and Khan, Sher Afzal and Khan, Ilyas and Shafie, Sharidan and Gul, Taza (2014) Prevention of leptospirosis infected vector and human population by multiple control variables. Abstract and Applied Analysis, 2014 . ISSN 1085-3375

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Official URL: http://dx.doi.org/10.1155/2014/619035

Abstract

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.

Item Type:Article
Uncontrolled Keywords:leptospirosis, vector population
Subjects:Q Science
Divisions:Science
ID Code:62329
Deposited By: Widya Wahid
Deposited On:05 Jun 2017 11:27
Last Modified:05 Jun 2017 11:27

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