Dynamics of a structured slug population model in the absence of seasonal variation

Bees, M.A., Angulo, O., Lopez-Marcos, J.C. and Schley, D. (2006) Dynamics of a structured slug population model in the absence of seasonal variation. Mathematical Models and Methods in Applied Sciences, 16(12), pp. 1961-1985. (doi: 10.1142/S0218202506001777)

Abstract

We develop a novel, nonlinear structured population model for the slug Deroceras reticulatum, a highly significant agricultural pest of great economic impact, in both organic and non-organic settings. In the absence of seasonal variations, we numerically explore the effect of life history traits that are dependent on an individual's size and measures of population biomass. We conduct a systematic exploration of parameter space and highlight the main mechanisms and implications of model design. A major conclusion of this work is that strong size dependent predation significantly adjusts the competitive balance, leading to non-monotonic steady state solutions and slowly decaying transients consisting of distinct generational cycles. Furthermore, we demonstrate how a simple ratio of adult to juvenile biomass can act as a useful diagnostic to distinguish between predated and non-predated environments, and may be useful in agricultural settings.

• Item Type: Articles
• Additional Information: Electronic version of an article published as Mathematical Models and Methods in Applied Sciences, 16, 12, 2006, pp. 1961-1985. http://www.worldscinet.com/m3as/
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bees, Dr Martin
• Authors: Bees, M.A., Angulo, O., Lopez-Marcos, J.C., and Schley, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Mathematical Models and Methods in Applied Sciences
• Publisher: World Scientific Publishing
• ISSN: 0218-2025
• ISSN (Online): 1793-6314
• Copyright Holders: © World Scientific Publishing
• First Published: First published in Mathematical Models and Methods in Applied Sciences 2006 16(12):1961-1985
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher