A second order finite difference scheme for a variable infection-structured model of mycobacterium marinum dynamics in aquatic animals

In this paper, we present a novel second order finite difference scheme for a modified version of a model that was first developed in [4], to study the transmission dynamics of a human TB-like bacterium, Mycobacterium marinum, affecting aquatic animals on a similar scale.Convergence of the finite difference approximation to the unique weak solution of the model is shown.Numerical results confirming the second order convergence of the scheme are presented.The computational advantages of using this high-resolution scheme in comparison to the first order scheme previously used in [4] is illustrated.