Optimal Control and Stability Analysis of Malaria Disease: A Model Based Approach

被引：1
作者：
Mandal, Manotosh [1 ,2 ]
Jana, Soovoojeet [3 ]
Pahari, U. K. [4 ]
Kar, T. K. [2 ]
机构：
[1] Tamralipta Mahavidyalaya, Dept Math, Purba Medinipur, W Bengal, India
[2] IIEST, Dept Math, Howrah, W Bengal, India
[3] Ramsaday Coll, Dept Math, Howrah 7111401, W Bengal, India
[4] Netaji Nagar Day Coll, Dept Math, Kolkata 700092, India
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2021年 / 10卷 / 04期
关键词：
Malaria model; Basic reproduction number; Optimal control; Sensitivity analysis; Stability analysis; SIR EPIDEMIC MODEL; MATHEMATICAL-THEORY; VACCINATION; DYNAMICS;
D O I：
10.5890/JAND.2021.12.014
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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. (c) 2021 L&H Scientific Publishing, LLC. All rights reserved.
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收藏
页码：775 / 790
页数：16
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