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

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.