Allee effects in a Ricker-type predator-prey system
Dynamical Systems
2014-04-23 v1 Populations and Evolution
Abstract
We study a discrete host-parasitoid system where the host population follows the classical Ricker functional form and is also subject to Allee effects. We determine basins of attraction of the local attractors of the single population model when the host intrinsic growth rate is not large. In this situation, existence and local stability of the interior steady states for the host-parasitoid interaction are completely analyzed. If the host's intrinsic growth rate is large, then the interaction may support multiple interior steady states. Linear stability of these steady states is provided.
Keywords
Cite
@article{arxiv.1404.5555,
title = {Allee effects in a Ricker-type predator-prey system},
author = {Yunshyong Chow and Sophia R. -J. Jang},
journal= {arXiv preprint arXiv:1404.5555},
year = {2014}
}
Comments
Figures are not provided. Journal of Difference Equations and Applications, 2015