Coevolution at two trophic levels. (English) Zbl 0564.92019
Population biology and evolution, Symp. Oberjoch/Ger. 1983, Proc. Life Sci., 247-253 (1984).
[For the entire collection see Zbl 0552.00010.]
Suppose a set of ”types” (species, genotypes, etc.) of one trophic level feeds on a set of ”types” at a lower trophic level, as for example the community of isopods feeding on microfungi. A model in discrete time, non-overlapping generations and random mating involving mortality, fecundity parameters and their interactions between the trophic levels is then developed assuming a steady decay at one trophic level and a Lotka- Volterra competition model at the other.
Equilibrium solutions for the coexistence of resource specialists and generalists under certain boundary values are obtained for the case of two species of resources and three phenotypes of a single exploiter species. A numerical example illustrates the results.
Suppose a set of ”types” (species, genotypes, etc.) of one trophic level feeds on a set of ”types” at a lower trophic level, as for example the community of isopods feeding on microfungi. A model in discrete time, non-overlapping generations and random mating involving mortality, fecundity parameters and their interactions between the trophic levels is then developed assuming a steady decay at one trophic level and a Lotka- Volterra competition model at the other.
Equilibrium solutions for the coexistence of resource specialists and generalists under certain boundary values are obtained for the case of two species of resources and three phenotypes of a single exploiter species. A numerical example illustrates the results.
Reviewer: J.S.Murty
