An avian influenza model with latency and vaccination. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Modnak, Chairat; Wang, Jin
• Is Part Of: Dynamical systems. Volume 34:Issue 2(2019)
• Page Start: 195
• Page End: 217
• Publication Date: 2019-04-03
• Subjects: Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2018.1488950
• Languages: English
• ISSNs: 1468-9367

Abstract

ABSTRACT: Avian influenza, caused by influenza A viruses, has received worldwide attention in recent years. The viruses can spread from birds to humans as well as transmit among human hosts. In this study, we formulate a mathematical model for avian influenza that includes bird-human interaction and that incorporates the effects of infection latency and human vaccination. We investigate the essential dynamics of the model through an equilibrium analysis. Meanwhile, we explore effective vaccination strategy to control avian influenza outbreaks using optimal control theory. Our results indicate that strategically deployed human vaccination can significantly reduce the numbers of exposed and infectious people.