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Maximum population sizes in host-parasitoid models

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Gómez-Corral, Antonio and López García, M. (2013) Maximum population sizes in host-parasitoid models. International journal of biomathematics, 6 (2). ISSN 1793-5245

Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S1793524513500022




Abstract

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.


Item Type:Article
Uncontrolled Keywords:Eigenvalues/eigenvectors; host-parasitoid model; Markov chain; maximum size
Subjects:Medical sciences > Biology > Biomathematics
ID Code:21629
Deposited On:31 May 2013 11:46
Last Modified:08 Mar 2016 15:29

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