%0 Journal Article %A Gómez-Corral, Antonio %A López-García, M. %T Maximum population sizes in host-parasitoid models %D 2013 %@ 1793-5245 %U https://hdl.handle.net/20.500.14352/33304 %X We 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. %~