title: Multiple coexistence equilibria in a two parasitoid-one host model.
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.
authors.affiliation: Department of Mathematics, University of Trento, Italy. Electronic address: ferdinand.pfab@gmail.com.
authors.forename: Ferdinand
authors.initials: F
authors.lastname: Pfab
authors.affiliation: Department of Mathematics, Utrecht University, Netherlands. Electronic address: o.diekmann@uu.nl.
authors.forename: Odo
authors.initials: O
authors.lastname: Diekmann
authors.affiliation: Department of Mathematics, University of Trento, Italy. Electronic address: souvik.bhattacharya@unitn.it.
authors.forename: Souvik
authors.initials: S
authors.lastname: Bhattacharya
authors.affiliation: Department of Mathematics, University of Trento, Italy. Electronic address: pugliese@science.unitn.it.
authors.forename: Andrea
authors.initials: A
authors.lastname: Pugliese
mesh_terms: D000818:Animals; D003163:Competitive Behavior; D017753:Ecosystem; D006790:Host-Parasite Interactions; D008018:Life Cycle Stages; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics
keywords: Delay differential equations; Multiplicity of coexistence equilibria; Parasitoid–host interaction; Population dynamics