Multiple coexistence equilibria in a two parasitoid-one host model

Ferdinand Pfab, Odo Diekmann, Souvik Bhattacharya and Andrea Pugliese

Theoretical Population Biology, 2017, vol. 113, issue C, 34-46

Abstract: Briggs et al. (1993) introduced a host–parasitoid model for the dynamics of a system with two parasitoids that attack different juvenile stages of a common host. Their main result was that coexistence of the parasitoids is only possible when there is sufficient variability in the maturation delays of the host juvenile stages. Here, we analyze the phenomenon of coexistence in that model more deeply. We show that with some distribution families for the maturation delays, the coexistence equilibrium is unique, while with other distributions multiple coexistence equilibria can be found. In particular, we find that stable coexistence does not necessarily require mutual invasibility.

Keywords: Population dynamics; Parasitoid–host interaction; Delay differential equations; Multiplicity of coexistence equilibria (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:113:y:2017:i:c:p:34-46

DOI: 10.1016/j.tpb.2016.10.002

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