Dynamics of the Oxygen, Carbon Dioxide, and Water Interaction across the Insect Spiracle

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

Abstract

This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect’s spiracle. Here we investigate and analyze this interaction by deriving a system of ordinary differential equations for oxygen, carbon dioxide, and water vapor. The analysis is carried out in continuous time. The purpose of the research is to determine bounds for the gas volumes and to discuss the complexity and stability of the equilibria. Numerical simulations also demonstrate the dynamics of our model utilizing the new conditions for stability and instability.

Related collections

Most cited references 24

Record: found
Abstract: not found
Article: not found

Coupling in predator-prey dynamics: Ratio-Dependence

Roger Arditi, Lev Ginzburg (1989)

0 comments Cited 172 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: not found
Article: not found

The Orgins and Evolution of Predator-Prey Theory

Alan Berryman (1992)

0 comments Cited 156 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: found
Article: not found

The nature of predation: prey dependent, ratio dependent or neither?

Zipporah Abrams, J. Ginzburg (2000)

To describe a predator-prey relationship, it is necessary to specify the rate of prey consumption by an average predator. This functional response largely determines dynamic stability, responses to environmental influences and the nature of indirect effects in the food web containing the predator-prey pair. Nevertheless, measurements of functional responses in nature are quite rare. Recently, much work has been devoted to comparing two idealized forms of the functional response: prey dependent and ratio dependent. Although we agree that predator abundance often affects the consumption rate of individual predators, this phenomenon requires more attention. Disagreement remains over which of the two idealized responses serves as a better starting point in building models when data on predator dependence are absent.