Threshold analysis of a switched fishery model with stage structure and fishing moratorium

Hongjian Guo, Mengmeng Yang, Xinyu Song

Abstract


Considering that fishing activities are forbidden during fishing moratorium and permitted after fishing moratorium, a fishery model with stage structure and fishing moratorium is formulated by a switched system which is composed of two subsystems, one does not have the term of harvest and the other one has the term of proportional harvest. After discussing the relations between two subsystems, the range of parameters considered in this paper is determined. The threshold condition for the stability of the switch system is given by a discrete system and Jury conditions. The region where the solutions tend to or are away from the common equilibrium is given by qualitative analyses. The positive periodic solution is also discussed. Finally, numerical simulations are given to verify the theoretical results and some discussions including the optimal problem are also given.

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Published: 2015-08-07

How to Cite this Article:

Hongjian Guo, Mengmeng Yang, Xinyu Song, Threshold analysis of a switched fishery model with stage structure and fishing moratorium, Communications in Mathematical Biology and Neuroscience, Vol 2015 (2015), Article ID 30

Copyright © 2015 Hongjian Guo, Mengmeng Yang, Xinyu Song. 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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