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2007, Volume 4, Issue 1: 47-65. Doi: 10.3934/mbe.2007.4.47
This issue Previous Article The dynamics of a stoichiometric plant-herbivore model and its discrete analog Next Article An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate

Insect development under predation risk, variable temperature, and variable food quality

  • 1.

    Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130

  • 2.

    Program in Mathematics, College of St. Mary, Omaha, NE 68134

  • 3.

    Division of Biology, Kansas State University, Manhattan, KS 66506

Received:  October 31, 2005
Revised:  December 31, 2005
Published:  October 2006
Abstract Related Papers Cited by
    Abstract
  • We model the development of an individual insect, a grasshopper, through its nymphal period as a function of a trade-off between prey vigilance and nutrient intake in a changing environment. Both temperature and food quality may be variable. We scale up to the population level using natural mortality and a predation risk that is mass, vigilance, and temperature dependent. Simulations reveal the sensitivity of both survivorship and development time to risk and nutrient intake, including food quality and temperature variations. The model quantifies the crucial role of temperature in trophic interactions and development, which is an important issue in assessing the effects of global climate change on complex environmental interactions.
    Mathematics Subject Classification: 92D25, 92D40,92D50.

    Citation:
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