Prey-Predator Model of Holling Type II Functional Response with Disease on Both Species

This paper examined an eco-epidemiological mathematical model for prey predator interaction. A deterministic model is proposed and analyzed qualitatively using the stability theory of differential equations. This model is an adapted Lotka-Volterra model by incorporating SI epidemic dynamics on the prey-predator population. Local and global stability of the model is performed around the equilibrium point using Lyapunov function. Reproduction numbers are computed using the next generation matrix and the disease free equilibrium points are stable when \(R_0<1\) $R_0<1$ . Numerical simulation of the model was carried out to confirm the stability results of each equilibrium points. The effect of infection rate attacking rate and conversion rate are shown with different values of the parameters.