Mathematical Modelling of an Avian Influenza: Optimal Control Study for Intervention Strategies

Authors

Chairat Modnak, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandFollow

Author Country (or Countries)

Thailand

Abstract

Avian influenza, caused by influenza A viruses, has drawn attention from scientists worldwide to study its epidemic dynamics. In this paper, we study the spread of bird flu or avian influenza and optimal control theory for intervention strategies from SIR-based model. In addition, we divide human population into five states; Susceptible (S), Vaccinated (V), Exposed (E), Infective (I) and Recovered (R). Equilibrium analysis to investigate the dynamics of the model is carefully derived. We further study the optimal control to seek cost effective for control and treatment strategies. Numerical results show that strategically deployed vaccination and medical treatment can significantly reduce the numbers of exposed and infectious persons.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110411

Recommended Citation

Modnak, Chairat (2017) "Mathematical Modelling of an Avian Influenza: Optimal Control Study for Intervention Strategies," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110411
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/11