Skip to main content Accessibility help
×
Home

STOCHASTIC PREDATION MODEL WITH DEPLETION

  • Guy L. Curry (a1) and Richard M. Feldman (a1)

Abstract

A stochastic model is developed for the expected number of prey taken by a single predator when prey depletion is apparent. The so-called “random predator equation” with prey exploitation of Royama and Rogers is compared with the stochastic model. The numerical comparisons illustrate situations where the deterministic model provides adequate and inadequate approximations.

Copyright

References

Hide All
Cook, R. M. and Hubbard, S. F.. 1977. Adaptive searching strategies in insect parasites. J. Anim. Ecol. 46: 115125.
Curry, G. L. and DeMichele, D. W.. 1977. Stochastic analysis for the description and synthesis of predator-prey systems. Can. Ent. 109: 11671174.
Gross, D. and Harris, C. M.. 1974. Fundamentals of Queueing Theory. Wiley, New York.
Hassell, M. P. and May, R. M.. 1974. Aggregation of predators and insect parasites and its effect on stability. J. Anim. Ecol. 43: 567587.
Hassell, M. P., Lawton, J. H., and Beddington, J. R.. 1976. The components of arthropod predation I. The prey death rate. J. Anim. Ecol. 45: 135164.
Hassell, M. P., Lawton, J. H., and Beddington, J. R.. 1977. Sigmoid functional responses by invertebrate predators and parasitoids. J. Anim. Ecol. 46: 249262.
Holling, C. S. 1959. Some characteristics of simple types of predation and parasitism. Can. Ent. 91: 385398.
Hassell, M. P., Lawton, J. H., and Beddington, J. R.. 1966. The functional response of invertebrate predators to prey density. Mem. ent. Soc. Can. 48. 86 pp.
Nicholson, A. J. and Bailey, V. A.. 1935. The balance of animal populations. Part 1. Proc. zool. Soc. Lond. 1935, Part 3, 551598.
Oaten, A. 1977. Optimal foraging in patches: a case for stochasticity. Theor. pop. Biol. 12: 263285.
Rogers, D. 1972. Randon search and insect population models. J. Anim. Ecol. 41: 369383.
Royama, T. 1971. A comparative study of models for predation and parasitism. Researches Popul. Ecol. Kyoto Univ. Suppl. 1. 86 pp.
Taylor, R. J. 1976. Value of clumping to prey and the evolutionary response of ambush predators. Am. Nat. 110: 1329.

STOCHASTIC PREDATION MODEL WITH DEPLETION

  • Guy L. Curry (a1) and Richard M. Feldman (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.