{"title":"Dynamical analysis of SARS-CoV-2-Dengue co-infection mathematical model with optimum control and sensitivity analyses","authors":"R. Prem Kumar , G.S. Mahapatra , P.K. Santra","doi":"10.1016/j.nonrwa.2024.104175","DOIUrl":null,"url":null,"abstract":"<div><p>This study develops an epidemic model to analyze the dynamics of SARS-CoV-2 and dengue coinfection in a population. The population is divided into sixteen compartments for humans and three for vectors. The model’s validity is ensured by maintaining bounded and non-negative solutions. The Basic Reproduction Number (BRN) is calculated for each sub-model to assess stability at equilibrium points. Sensitivity analysis identifies key parameters influencing the model. The complete coinfection model is analyzed to identify equilibrium points and evaluate stability conditions. The reciprocal influence of SARS-CoV-2 and dengue diseases is examined. An optimal control problem is formulated, incorporating six strategies: COVID-19 protection, mosquito bite prevention, treatment for COVID-19 and dengue, mosquito control, and coinfection treatment. Numerical simulations validate the effectiveness of these control strategies for the coinfection model and its sub-models.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"80 ","pages":"Article 104175"},"PeriodicalIF":1.8000,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1468121824001159","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This study develops an epidemic model to analyze the dynamics of SARS-CoV-2 and dengue coinfection in a population. The population is divided into sixteen compartments for humans and three for vectors. The model’s validity is ensured by maintaining bounded and non-negative solutions. The Basic Reproduction Number (BRN) is calculated for each sub-model to assess stability at equilibrium points. Sensitivity analysis identifies key parameters influencing the model. The complete coinfection model is analyzed to identify equilibrium points and evaluate stability conditions. The reciprocal influence of SARS-CoV-2 and dengue diseases is examined. An optimal control problem is formulated, incorporating six strategies: COVID-19 protection, mosquito bite prevention, treatment for COVID-19 and dengue, mosquito control, and coinfection treatment. Numerical simulations validate the effectiveness of these control strategies for the coinfection model and its sub-models.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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