Optimal instar parasitization in a stage structured host-parasitoid model

K. M. Crowe, J. M. Cushing

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A stage structured host-parasitoid model is derived and the equilibria studied. It is shown under what conditions the parasitoid controls an exponentially growing host in the sense that a coexistence equilibrium exists. Furthermore, for host populations whose inherent growth rate is not too large it is proved that in order to minimize the adult host equilibrium level it is necessary that the parasitoids attack only one of the larval stages. It is also proved in this case that the minimum adult host equilibrium level is attained when the parasitoids attack that larval stage which also maximizes the expected number of emerging adult parasitoid per larva at equilibrium. Numerical simulations tentatively indicate that the first conclusion remains in general valid for the model. -from Authors

Original languageEnglish (US)
Pages (from-to)119-138
Number of pages20
JournalNatural Resource Modeling
Issue number2
StatePublished - 1994

ASJC Scopus subject areas

  • Modeling and Simulation
  • Environmental Science (miscellaneous)


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