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)
"Mathematical Modelling of an Avian Inﬂuenza: Optimal Control Study for Intervention Strategies,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 11.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss4/11