Stability of a stage-structured predator-prey model with Allee effect and harvesting

Tingting Li, Xiaoyan Huang, Xiangdong Xie

Abstract


A stage-structured predator-prey model with Allee effect on predator species and harvesting on prey species is introduced and studied. The local stability of the positive equilibrium is discussed by the sign of eigenvalue. Furthermore, by using the iterative method, some suitable sufficient conditions for the global attractivity of the equilibria are obtained. Our results show that the Allee effect has no influence on the local stability and global attractivity of the interior equilibrium, such a result is different from the known results. Furthermore, numeric simulations show the interior equilibrium spends a much longer time to achieve the stable state due to the Allee effect.

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Published: 2019-05-17

How to Cite this Article:

Tingting Li, Xiaoyan Huang, Xiangdong Xie, Stability of a stage-structured predator-prey model with Allee effect and harvesting, Communications in Mathematical Biology and Neuroscience, Vol 2019 (2019), Article ID 13

Copyright © 2019 Tingting Li, Xiaoyan Huang, 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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