Numerical Modeling of Fractional-Order Biological Systems

Figure 2

Numerical simulations of the FODEs model (10) when 𝑠=0.1181, 𝜔=0.1184, 𝜃=0.1747, 𝑟=0.636, and 𝑏=0.002. 𝛼₁=𝛼₂=1,0.9,0.7. The endemic state ℰ₂ is locally asymptotically stable when ℛ₀=𝑎𝜃/𝜎>1. The fractional derivative damps the oscillation behavior.