Figure 2

Numerical results of system (6) demonstrating the convergence of infected population to the disease-free equilibrium for \({\mathcal{R}}_{0} \leq 1\). On construction of the simulations, we considered initial population levels discussed earlier, while baseline values for the model parameters are as in Tables 2 and 1. In addition, we also set \(T=16.5^{\circ }C\) and \(K=3300\), giving \({\mathcal{R}}_{0}=1.0\). As we can observe, the results concur with analytical findings presented in Theorem 4.4 that whenever \({\mathcal{R}}_{0} \leq 1\) the disease dies out in the community