International Journal of Biotechnology & Biochemistry

In this paper, in the event of the behavior of solutions of avian-human influenza epidemic model, the rate at which c — new birds are born, death rate of b — susceptible and infected birds, death rate of m — the additional mediated by avian influenza, the rate at which ω— avian influenza is contracted from an average bird individual, the rate at which λ— new humans are born, death rate of μ— susceptible and infected humans, d — the additional death rate mediated by avian influenza, the rate at which β₁— avian influenza is contracted from an average bird individual, the rate at which β₂ — mutant avian influenza is contracted from an average human individual, the rate of γ— recovery, the rate of ε— mutation, α— the additional death rate mediated by mutant avian influenza are random variables with triangular and normal distribution, avian-human influenza epidemic model is undertaken and analyzing the solution of this model with Runge–Kutta method and computing the first four moments of X(t) susceptible birds, Y(t) infected birds with avian influenza, S(t) susceptible human, B(t) infected human with avian influenza, H(t) infected human with mutant avian influenza and R(t) recovered human from mutant avian influenza the with Monte Carlo method expected value, variance, standard deviation and confidence interval are calculated. Furthermore graphic simulation is constituted to benefit from numerical methods.