Avian Influenza with Drug Resistance

Abstract

In this paper, avian influenza epidemic model with drug resistance effect is investigated. The basic reproduction number  R_0 find out using next generation method. The local and global stability of a disease free and endemic equilibrium of the system is studied and discussed. Numerical simulations are carried out to investigate the influence of the key parameters on the spread of the disease, to support the analytical conclusion and illustrate possible behavioral scenarios of the model

Keywords

• Avian influenza,drug resistance,stability,basic reproduction

References

1. [1] C. Shuqinche, X. Yakui, Ma. Likang, The stability of highly pathogenic avian influenza epidemic model with saturated contact rate, Applied Mathematics, 5 (2014) 3365-3371,
2. [2] H. M. Dobrovolny, CAA. Beauchemin, Modelling the emergence of influenza drug resistance the roles of surface proteins, the immune response and antiviral mechanisms. PlosONE, 12 (7) (2017).
3. [3] P. Lancaster, Theory of Matrices, Academic press, New York, NY, USA (1969).
4. [4] S. Sharma, V. H. Badshah., V. Gupta, Global dynamics of highly pathogenic avian influenza epidemic model with vertical transmission function, International journal of advance research in Science and Engineering, 6 (9) (2017).
5. [5] S. Sharma, V. H. Badshah, V. Gupta, The highly avian influenza epidemic model with vertical transmission function in poultry, IOSR journal of Mathematics, 12 (3) (2016) 40-48,