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

J. David Logan; William Wolesensky; Anthony Joern; J. David Logan; William Wolesensky; Anthony Joern

doi:10.3934/mbe.2007.4.47

Mathematical Biosciences and Engineering

2007, Volume 4, Issue 1: 47-65. doi: 10.3934/mbe.2007.4.47

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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: 01 November 2005 Accepted: 29 June 2018 Published: 01 November 2006
MSC : 92D25, 92D40,92D50.

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.
- vigilance,
- eco-physiology,
- grasshoppers.,
- temperature
Citation: J. David Logan, William Wolesensky, Anthony Joern. Insect development under predation risk, variable temperature, and variable food quality[J]. Mathematical Biosciences and Engineering, 2007, 4(1): 47-65. doi: 10.3934/mbe.2007.4.47

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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.
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