Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey

Summary This article deals with an optimal control problem governed by a system that models the dynamics of predator‐prey interactions. We study the minimization of the infective prey density. Furthermore, our purpose is here to establish the existence of weak solutions and derive some optimality co...

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Published inOptimal control applications & methods Vol. 41; no. 5; pp. 1495 - 1509
Main Authors Sowndarrajan, Puthur Thangaraj, Nyamoradi, Nemat, Shangerganesh, Lingeshwaran, Manimaran, Jeyaraj
Format Journal Article
LanguageEnglish
Published Glasgow Wiley Subscription Services, Inc 01.09.2020
Subjects
adjoint problem
Computer simulation
epidemic model
Mathematical models
Optimal control
Optimization
Predator-prey simulation
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Summary:Summary This article deals with an optimal control problem governed by a system that models the dynamics of predator‐prey interactions. We study the minimization of the infective prey density. Furthermore, our purpose is here to establish the existence of weak solutions and derive some optimality conditions. Finally, the impact of the control terms are studied to get an insight of the predator‐prey model adopting various numerical simulations.
Bibliography:Funding information
Ministry of Human Resources Development
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2611