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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters

Figure 3

Numerical results of system (6) demonstrating the convergence of infected population to the endemic equilibrium for \({\mathcal{R}}_{0} > 1\). On simulating the model, 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 \(T=25^{\circ }C\) and \(K=3300\), giving \({\mathcal{R}}_{0}=3.7\). As we can observe, the results concur with analytical findings presented in Theorem 4.5 that whenever \({\mathcal{R}}_{0} >1\) the system is stable and the infection persists in the community

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