Permanence and extinction in a periodic ratio-dependent population system with stage structure

Volume 5, Issue 1, pp 20--28 http://dx.doi.org/10.22436/mns.05.01.03

Publication Date: September 10, 2019 Submission Date: February 18, 2018 Revision Date: January 30, 2019 Accteptance Date: February 28, 2019

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Authors

Ahmadjan Muhammadhaji - College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, People's Republic of China.

Abstract

This paper studies a class of nonautonomous two-species ratio-dependent population system with stage structure. Some sufficient conditions on the boundedness, permanence, extinction, and periodic solution of the system are established by using the comparison method.

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Keywords

• Stage-structured ratio-dependent system
• permanence
• extinction
• periodic solution

MSC

•  34D20
•  34D23
•  34K20
•  34K25

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