The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population
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Publication Details
Author list: Kassa SM, Ouhinou A
Publisher: Springer (part of Springer Nature): Springer Open Choice Hybrid Journals
Place: HEIDELBERG
Publication year: 2015
Journal: Journal of Mathematical Biology (0303-6812)
Journal acronym: J MATH BIOL
Volume number: 70
Issue number: 1-2
Start page: 213
End page: 236
Number of pages: 24
ISSN: 0303-6812
eISSN: 1432-1416
Languages: English-Great Britain (EN-GB)
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Abstract
A mathematical model for infectious disease epidemics with behaviour change and treatment is formulated and analysed. It is indicated that behaviour modification by the population has a significant impact on the dynamics of the disease. Moreover, an optimal control theory is applied to propose the best possible combination of efforts in controlling a disease. It is shown that it may not be necessary to continuously apply treatment at a full rate to eradicate the disease, if the effort is supported by effective behaviour modification strategies.
Keywords
behaviour change, Dynamical systems, epidemiological models, Infectious diseases, optimal control
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