Optimal control and stability analysis of malaria disease: a model based approach
type: Item
instance of: scholarly article
title: Optimal control and stability analysis of malaria disease: a model based approach
zbMATH Open document ID: 1479.92008
DOI: 10.4171/MAG-3
author: Manotosh Mandal
author: Soovoojeet Jana
author: U. K. Pahari
author: T. K. Kar
published in: European Mathematical Society Magazine
publication date: 2022-02-17T00:00:00Z
review text: Summary: In this paper we have proposed a three dimensional mathematical model on malaria disease by considering two distinct classes namely susceptible and infected human population and infected mosquito population. Basic reproductive number of the system has been obtained and its relation regarding the behavior of the system has been established. Two control parameters, namely treatment control on infected human population and insecticide control on mosquito populations are applied in the present system. We formulate and solve the optimal control problem considering treatment and insecticide as the control variables. All the theoretical results are verified by some computer simulation works.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 7475705
zbMATH Keywords: Malaria model
zbMATH Keywords: basic reproduction number
zbMATH Keywords: optimal control
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: stability analysis
MaRDI profile type: Publication
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full work available at URL: mag-3
OpenAlex ID: W4205276846
description: scientific article; zbMATH DE number 7475705