On the stability of a time‐varying single‐species harvesting model with Allee effect

On the stability of a time‐varying single‐species harvesting model with Allee effect

This work brings a one‐dimensional logistic harvesting model with Allee effect to the time‐varying framework. This new framework is more sober than the autonomous version of the system because it, the framework, permits all environment‐dependent coefficients to depend on time. Based on these coeffic...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 46; no. 17; pp. 17760 - 17772
Main Author: Naser, Mohammad F. M.
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 30-11-2023
Subjects:
Mathematical models
Stability
Online Access:Get full text
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Description
Summary:This work brings a one‐dimensional logistic harvesting model with Allee effect to the time‐varying framework. This new framework is more sober than the autonomous version of the system because it, the framework, permits all environment‐dependent coefficients to depend on time. Based on these coefficients, we derive sets of conditions that drive population to “mathematical” extinction. More precisely, we investigate various local and global stability notions including uniform stability, attractivity, asymptotic stability, and the uniform exponential stability.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9529