A second-order Magnus-type integrator for evolution equations with delay

Abstract We rewrite abstract delay equations as nonautonomous Cauchy problems allowing us to introduce a Magnus-type integrator for the former. prove second-order convergence of obtained integrator. also show that if differential operators involved admit common invariant set their generated semigroups, then will respect this well, much weaker assumptions obtain desired convergence. As an illustrative example we consider space-dependent epidemic model with latent period and diffusion.