Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

Analytical Study and Numerical Solutions of Bird Flu Epidemic Model with Vaccination

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  • @INPROCEEDINGS{10.4108/eai.12-10-2019.2296335,
        author={Arrival Rince Putri and Mahdhivan  Syafwan},
        title={Analytical Study and Numerical Solutions of Bird Flu Epidemic Model with Vaccination},
        proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
        publisher={EAI},
        proceedings_a={MSCEIS},
        year={2020},
        month={7},
        keywords={epidemic model vaccination stability threshold number numerical solutions},
        doi={10.4108/eai.12-10-2019.2296335}
    }
    
  • Arrival Rince Putri
    Mahdhivan Syafwan
    Year: 2020
    Analytical Study and Numerical Solutions of Bird Flu Epidemic Model with Vaccination
    MSCEIS
    EAI
    DOI: 10.4108/eai.12-10-2019.2296335
Arrival Rince Putri1,*, Mahdhivan Syafwan1
  • 1: Graduate School Environmental and Life Science, Okayama University, Japan
*Contact email: arrivalputri@gmail.com

Abstract

Mathematical modeling is a tool used for the mechanism of strategy in controlling epidemics. In this paper, a basic model for bird flu epidemic is developed. Vaccination treatment of bird flu is a common method used to control disease. The bird flu model is reformulated by taking into account vaccination. Those models are system of ordinary differential equations. Stability of both the models are discussed and associated with the threshold number stating population is free of bird flu virus or infected. Numerical solutions are given on phase plane to confirm the analytical results.