Gómez-Corral, AntonioLópez-García, M.2023-06-192023-06-192013-031793-524510.1142/S1793524513500022https://hdl.handle.net/20.500.14352/33304We are concerned with the problem of characterizing the distribution of the maximum number of individuals alive during a fixed time interval in host-parasitoid models, which is shown to have a matrix exponential form. We present simple conditions on the rates of change of population sizes for the matrix exponential solution to be explicit or algorithmically tractable. A particularly appealing feature of our solution based on splitting methods is that it allows us to obtain global error control.journal articlehttp://www.worldscientific.com/doi/pdf/10.1142/S1793524513500022http://www.worldscientific.com/metadata only access51-76Eigenvalues/eigenvectorshost-parasitoid modelMarkov chainmaximum sizeBiomatemáticas2404 Biomatemáticas