Jonsson, Micael
- Department of Forest Ecology and Management, Swedish University of Agricultural Sciences
Abstract
In this study, an analytical method is introduced for the identification of predator-prey populations time-dependent evolution in a Lotka-Volterra predator-prey model which takes into account the concept of accelerated-predator-satiety.Oppositely to most of the predator-prey problem models, the actual model does not suppose that the predation is strictly proportional to the prey density. In reference to some recent experimental results and particularly to the conclusions of May (1973) about predators which are 'never not hungry', an accelerated satiety function is matched with the initial conventional equations. Solutions are plotted and compared to some relevant ones. The obtained trends are in good agreement with many standard Lotka-Volterra solutions except for the asymptotic behaviour. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords
Accelerated-predator-satiety; Lotka-Volterra problem; Asymptotic behaviour
Published in
Journal of Theoretical Biology
2010, volume: 264, number: 1, pages: 154-160
Publisher: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
SLU Authors
UKÄ Subject classification
Other Mathematics
Ecology
Publication identifier
- DOI: https://doi.org/10.1016/j.jtbi.2010.01.026
Permanent link to this page (URI)
https://res.slu.se/id/publ/60796