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. © 2016 Elsevier Inc. All rights reserved.
Multiple coexistence equilibria in a two parasitoid-one host model / Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea. - In: THEORETICAL POPULATION BIOLOGY. - ISSN 0040-5809. - 2017, 113:(2017), pp. 34-46. [10.1016/j.tpb.2016.10.002]
Multiple coexistence equilibria in a two parasitoid-one host model
Diekmann, Odo;Bhattacharya, Souvik;Pugliese, Andrea
2017-01-01
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. © 2016 Elsevier Inc. All rights reserved.File | Dimensione | Formato | |
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