Mathematical model SI-SIRT of avian influenza epidemic with treatment on human

M. Kharis; T.A. Prasetyo; S.B. Waluya

doi:10.1088/1742-6596/1918/4/042047

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Mathematical model SI-SIRT of avian influenza epidemic with treatment on human

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M. Kharis, T.A. Prasetyo, S.B. Waluya

2021 Journal of Physics: Conference Series Vol. 1918 Issue 4 Conference paper Cited by 1 SDG 3

Abstract

Avian influenza is a terrible respiratory infectious disease caused by the avian influenza virus. The great concern of the world's health experts is the possibility of spreading avian influenza and becoming an uncontrollable pandemic. The study's purpose was to derive, analyze, and interpret the mathematical model's simulation of the avian influenza epidemic with treatment on humans. This paper constructed a mathematical model formed by SI-SIRT (Susceptible poultry, Infectious poultry, Susceptible human, Infected human, Treated human, Recovered human). We obtained a reproduction number (R0) from Analyzing the model. R0 is a formula to determine whether the disease will disappear or spread over in the future. The free disease equilibrium point was local asymptotically stable if R0 < 1, and the endemic equilibrium point was local asymptotically stable if R0 > 1. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics, Universitas Negeri Semarang, Indonesia; Information Technology, Faculty of Informatics and Electrical Engineering, Institut Teknologi Del, Indonesia

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