Discrete Gradient Methods for Solving SIRI Epidemic Model Numerically While Preserving First Integrals

摘要

In this paper, we use discrete gradient methods for numerical solutions of mathematical models of epidemiology: a susceptibleinfected recovered infected (SIRI) model. The numerical results mimic the true and qualitatively correct behavior of the SIRImodel. The first integrals (also known as the constant of motion) of the SIRI model obtained in literature using partialLagrangian approach are well preserved by the discrete gradient method. The graphical results verify the advantages of theproposed schemes.