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Journals / Journal of Universal Mathematics / 2022 / Cilt: 5 Sayı: 2

DYNAMICAL BEHAVIOURS OF A DISCRETIZED MODEL WITH MICHAELIS-MENTEN HARVESTING RATE

Nihal Özdoğan(BURSA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ)0000-0002-7551-1636
Mevlüde Yakıt Ongun(SÜLEYMAN DEMİREL ÜNİVERSİTESİ)0000-0003-2363-9395
Pages
159–176
Publication Date
2022-07-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, numerical comparisons were made between the nonstandard finite difference method and the other methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduced nonstandard finite difference scheme (NSFD) for solving the continuos model with Michaelis-Menten harvesting rate.
📊
Key Findings & Data:We have seen that the proposed scheme preserve local stability and positivity.
💡
Conclusion & Impact:Also, numerical comparisons were made between the nonstandard finite difference method and the other methods.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Nonstandard finite difference scheme · harvesting · equilibrium points.

Abstract

In this paper, we introduced nonstandard finite difference scheme (NSFD) for solving the continuos model with Michaelis-Menten harvesting rate. We have seen that the proposed scheme preserve local stability and positivity. Stability analysis of each fixed point of the discrete time model has been proven. Also, numerical comparisons were made between the nonstandard finite difference method and the other methods.

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Cite This Article

Özdoğan, N., Ongun, M. Y. (2022). DYNAMICAL BEHAVIOURS OF A DISCRETIZED MODEL WITH MICHAELIS-MENTEN HARVESTING RATE. Journal of Universal Mathematics, Cilt: 5 Sayı: 2, 159–176. https://doi.org/10.33773/jum.1134168

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