Prevention of leptospirosis infected vector and human population by multiple control variables
type: Item
instance of: scholarly article
title: Prevention of leptospirosis infected vector and human population by multiple control variables
zbMATH Open document ID: 1474.92063
DOI: 10.1155/2014/619035
author: Muhammad Altaf Khan
author: S. Islam
author: Sher Afzal Khan
author: Ilyas Khan
author: Sharidan Shafie
author: Taza Gul
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7022737
Wikidata QID: Q58491762
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/619035
OpenAlex ID: W2049424456
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description: scientific article; zbMATH DE number 7022737