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Modeling host-parasitoid interactions with correlated events

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Gómez-Corral, Antonio and López García, M. (2013) Modeling host-parasitoid interactions with correlated events. Applied Mathematical Modelling, 37 (7). pp. 5452-5463. ISSN 0307-904X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0307904X12006403


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Abstract

In this paper, we present a host-parasitoid model with correlated events. We apply a block-structured state-dependent (BSDE) approach that provides a methodological tool to model state-dependent Markovian transitions operating in the presence of phases. A particularly appealing feature of the resulting BSDE host-parasitoid model is that it allows us to deal with non-exponential distributional assumptions on a host birth, a parasitoid death, and parasitism, but keeping the dimensionality of the underlying block-structured Markov chain tractable. Numerical examples are presented to illustrate the effects of the correlation structure on the expected extinction times and the extinction probabilities.


Item Type:Article
Uncontrolled Keywords:BSDE approach; Extinction; Host-parasitoid model; Markov chain model; Markov-modulated events
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:21228
Deposited On:06 May 2013 11:34
Last Modified:27 Jun 2018 07:14

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