Stability analysis of a Lotka-Volterra type predator-prey system with Allee effect on the predator species

Xinyu Guan, Yu Liu, Xiangdong Xie

Abstract


In this paper, we propose a Lotka-Volterra type predator-prey system with Allee effect on the predator species. Sufficient condition which ensure the existence of a unique globally asymptotically stable positive equilibrium is obtained. Numeric simulation s show that the system subject to an Allee effect takes much longer time to reach its stable steady-state solution, however, Allee effect has no influence on the final density of the predator and prey species. This result differs from that obtained for the predator prey system with Allee effect on the prey species.

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Published: 2018-04-18

How to Cite this Article:

Xinyu Guan, Yu Liu, Xiangdong Xie, Stability analysis of a Lotka-Volterra type predator-prey system with Allee effect on the predator species, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 9

Copyright © 2018 Xinyu Guan, Yu Liu, Xiangdong Xie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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