Research ArticlesNo Access

Optimal treatment strategy of an avian influenza model with latency

Chairat Modnak

http://orcid.org/0000-0002-4967-5346

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

E-mail Address: chairatm@nu.ac.th

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and

Jin Wang

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga TN 37403, USA

E-mail Address: Jin-Wang02@utc.edu

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https://doi.org/10.1142/S1793524517500668Cited by:2 (Source: Crossref)

Abstract

Avian influenza, caused by influenza A viruses, has received worldwide attention over recent years. In this study, we formulate a mathematical model for avian influenza that includes human–human transmission and incorporates the effects of infection latency and treatments. We investigate the essential dynamics of the model through an equilibrium analysis. Meanwhile, we explore effective treatment strategies to control avian influenza outbreaks using optimal control theory. Our results show that strategically deployed medical treatments can significantly reduce the numbers of exposed and infection persons.

Keywords:

AMSC: 92B05

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