An age-structured model of cannibalism
Date
2006-09-08
Authors
Marik, Robert
Pribylova, Lenka
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We investigate the predator-prey model with cannibalism in the predator population, suggested by Magnusson [5] in 1995. We explore the model by a theory of bifurcations, based mainly on the results of Bautin. Among others, we show that the limit cycle appearing in the model due to the Andronov-Hopf bifurcation may be stable or unstable.
Description
Keywords
Cannibalism, Predator-prey, Hopf bifurcation, Lyapunov coefficient
Citation
Marik, R., & Pribylova, L. (2006). An age-structured model of cannibalism. <i>Electronic Journal of Differential Equations, 2006</i>(106), pp. 1-11.
Rights
Attribution 4.0 International