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 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 algo- rithmically tractable. A particularly appealing feature of our solution based on splitting methods is that it allows us to obtain global error control.展开更多
文摘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 algo- rithmically tractable. A particularly appealing feature of our solution based on splitting methods is that it allows us to obtain global error control.
