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On the stability of a time-varying single-species harvesting model with Allee effect
  • M. F. M. Naser
M. F. M. Naser
Al-Balqa' Applied University

Corresponding Author:mohammad.naser@bau.edu.jo

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Abstract

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.
07 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
07 Apr 2022Submission Checks Completed
07 Apr 2022Assigned to Editor
19 Apr 2022Reviewer(s) Assigned
26 Sep 2022Review(s) Completed, Editorial Evaluation Pending
09 Nov 2022Editorial Decision: Revise Major
11 Nov 20221st Revision Received
12 Nov 2022Submission Checks Completed
12 Nov 2022Assigned to Editor
12 Nov 2022Review(s) Completed, Editorial Evaluation Pending
02 Dec 2022Reviewer(s) Assigned
19 Jun 2023Editorial Decision: Accept