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Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey
Author(s) -
Sowndarrajan Puthur Thangaraj,
Nyamoradi Nemat,
Shangerganesh Lingeshwaran,
Manimaran Jeyaraj
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2611
Subject(s) - predation , predator , optimal control , mathematical optimization , mathematics , minification , control (management) , control theory (sociology) , ecology , computer science , biology , artificial intelligence
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.