Abstract : The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system.
Yves Dumont, Roumen Anguelov, Jean M.-S Lubuma, Meir Shillor. Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. ICNAAM 2009, Sep 2009, Rethymno, Greece. pp.1209-1212. ⟨cirad-00455049⟩
