Skip to main content
SpringerLink
Log in

On the optimal compromise for a dispersing parasitoid

  • Published:
Journal of Mathematical Biology Aims and scope Submit manuscript

Abstract

Vector optimization concepts are used to demonstrate that key characteristics of searching and oviposition by the parasitoid Anagrus delicatus (Mymaridae, Hymenoptera) are consistent with the idea that it forages to achieve an optimal compromise, in an uncertain environment, between maximizing ovipositions at suitable sites and dispersing its eggs as widely as possible.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Antolin, M. F., Strong, D. R.: Long-distance dispersal by a parasitoid (Anagrus delicatus, Mymaridae) and its host. Oecologia 73, 288–292 (1987)

    Google Scholar 

  • Levin, S. A., Cohen, D., Hastings, A.: Dispersal strategies in patchy environments. Theor. Popul. Biol. 26, 165–191 (1984)

    Google Scholar 

  • Mangel, M.: Oviposition site selection and clutch size in insects. J. Math. Biol. 25, 1–22 (1987)

    Google Scholar 

  • Mangel, M., Clark, C. W.: Towards a unified foraging theory. Ecology 67, 1127–1138 (1986)

    Google Scholar 

  • McNamara, J. M., Houston, A. I.: The common currency for behavioral decisions. Am. Nat. 127, 358–378 (1986)

    Google Scholar 

  • Salukvadze, M. E.: Vector-valued optimization problems in control theory. New York: Academic Press 1979

    Google Scholar 

  • Stiling, P. D., Strong, D. R.: The parasitoids of the planthopper Prokelisia marginata (Homoptera: Delphacidae). Fl. Entomol. 65, 191–192 (1982a)

    Google Scholar 

  • Stiling, P. D., Strong, D. R.: Egg density and the intensity of parasitism in Prokelisia marginata (Homoptera: Delphacidae). Ecology 63, 1630–1635 (1982b)

    Google Scholar 

  • Strong, D. R., Stiling, P. D.: Wing dimorphism changed by experimental density manipulation in a planthopper (Prokelisia marginata, Homoptera, Delphacidae). Ecology 64, 206–209 (1983)

    Google Scholar 

  • Vincent, T. L., Grantham, W. J.: Optimality in parametric systems. New York: Wiley 1981

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Florida State University, 32306-3027, Tallahassee, FL, USA

    M. Mesterton-Gibbons

Authors
  1. M. Mesterton-Gibbons
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mesterton-Gibbons, M. On the optimal compromise for a dispersing parasitoid. J. Math. Biology 26, 375–385 (1988). https://doi.org/10.1007/BF00276368

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00276368

Key words

Search

Navigation