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Optimal Control for an SEIR Epidemic Model with Nonlinear Incidence Rate
Author(s) -
Grigorieva Ellina,
Khailov Evgenii,
Korobeinikov Andrei
Publication year - 2018
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12227
Subject(s) - epidemic model , nonlinear system , principal (computer security) , optimal control , nonlinear model , incidence (geometry) , mathematics , control theory (sociology) , control (management) , computer science , mathematical optimization , medicine , artificial intelligence , physics , population , geometry , environmental health , quantum mechanics , operating system
The objective of this paper is to explore possible impacts of nonlinearity of functional responses and a number of compartments of an infection disease model on principal qualitative properties of the optimal controls. To address this issue, we consider optimal controls for an Susceptible‐Exposed‐Infectious‐Removed (SEIR) model of an endemically persisting infectious disease. We assume that the incidence rate is given by an unspecified nonlinear function constrained by a few biologically motivated conditions. For this model, we consider five controls (which comprise all controls that are possible for this model) with a possibility of acting simultaneously, and establish principal qualitative properties of the controls. A comparison with a similar SIR model is provided.