KUBIK: Jurnal Publikasi Ilmiah Matematika
Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika

Dynamical Analysis in A Leslie-Gower Model Involving Allee Effect and Non-Linear Harvesting

Firdiansyah, Adin Lazuardy (Unknown)



Article Info

Publish Date
30 Nov 2024

Abstract

The fishing industry has fished the Atlantic cod population for a millennium. As fishing became greater, the Atlantic cod population declined. During this crisis, fishing declined drastically, but the species is still struggling to bounce back. This is due to the growing number of sharks and other North Atlantic invertebrates. Based on this phenomenon, a Leslie-Gower model involving additive Allee effects and non-linear harvesting is considered to describe population dynamics. Further research is done on the existence and stability of equilibrium points as well as the positivity, permanence, and boundedness of solutions. It was found that the permanence requirement was used as a condition to ensure the two populations lived together. Numerical simulations are performed in the last section to bolster the analysis's findings.

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Journal Info

Abbrev

kubik

Publisher

Subject

Computer Science & IT Economics, Econometrics & Finance Mathematics

Description

Fuzzy Systems and its Applications Geometry Theories and its Applications Graph Theories and its Applications Real Analysis and its Applications Operation Research and its Applications Statistical Theories and its Applications Dinamical Systems and its Applications Mathematics Modeling and its ...