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Optimal control of a delayed SIRC epidemic model with saturated incidence rate
Author(s) -
Li Lele,
Sun Caixia,
Jia Jianwen
Publication year - 2018
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.2482
Subject(s) - optimal control , pontryagin's minimum principle , epidemic model , control (management) , maximum principle , mathematics , control theory (sociology) , computer science , mathematical optimization , demography , population , artificial intelligence , sociology
Summary In this paper, we present a susceptible‐infected‐recovered cross‐immune (SIRC) epidemic model, which describes Influenza A and analyzes the SIRC epidemic model through the optimal control theory and mathematical analysis. We show the existence of an optimal control pair for the optimal control problem by using Pontryagin's maximum principle with delay and derive the optimality condition. Finally, numerical simulation is carried out to verify our theoretical results.