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Journals / Journal of Mathematical Sciences and Modelling / 2023 / Cilt: 6 Sayı: 2

Qualitative Study of a Discrete-Time Harvested Fishery Model in the Presence of Toxicity

Debasis MUKHERJEE
Pages
65–75
Publication Date
2023-08-07
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Examples are cited to illustrate our conclusions.

📌 3 Key Takeaways

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Objective & Hypothesis:This paper analyses a discrete-time Michaelis-Menten type harvested fishery model in the presence of toxicity.
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Key Findings & Data:Boundary and interior (positive) fixed points are examined.
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Conclusion & Impact:Examples are cited to illustrate our conclusions.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Bifurcation · Chaos control · Global stability

Abstract

This paper analyses a discrete-time Michaelis-Menten type harvested fishery model in the presence of toxicity. Boundary and interior (positive) fixed points are examined. Using an iteration scheme and the comparison principle of difference equations, we determined the sufficient condition for global stability of the interior fixed point. It is shown that the sufficient criterion for Neimark-Sacker bifurcation and flip bifurcation can be established. It is observed that the system behaves in a chaotic manner when a specific set of system parameters is selected, which are controlled by a hybrid control method. Examples are cited to illustrate our conclusions.

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Cite This Article

MUKHERJEE, D. (2023). Qualitative Study of a Discrete-Time Harvested Fishery Model in the Presence of Toxicity. Journal of Mathematical Sciences and Modelling, Cilt: 6 Sayı: 2, 65–75. https://ajindex.com/articles/957520

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