Uma Solução Semianalítica de Modelos Compartimentais Simples para transmissão de doenças infecciosas

In this work, we propose a semi-analytical solution for Simple Compartmental Models, more specifically the SIR Model. From system of ordinary differential equations itself, with change variable through an extended domain-based mapping, seek to build sharing solutions paths field function, generated by partial equation. Using characteristic method, obtain exact function in terms arbitrary whose argument is integral form. Since resulting has no solution, suitable Newton Cotes quadrature used and original variables are reconstructed respective changes. Hypothetical simulations proposed analyze plausibility satisfaction initial, limit, final conditions populations