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Journals / Chaos Theory and Applications / 2022 / Cilt: 4 - Sayı: 2

Stability and Hopf Bifurcation Analysis of a Fractional-order Leslie-Gower Prey-predator-parasite System with Delay

Xiaoting YANG
Liguo YUAN
Zhouchao WEİ
Pages
71–81
Publication Date
2022-07-30
DOI
—
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AI Summary & Key Takeaways

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

Lastly, numerical examples are studied to verify the validity of the obtained newly results

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A fractional-order Leslie-Gower prey-predator-parasite system with delay is proposed in this article.
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Key Findings & Data:The existence and uniqueness of the solutions, as well as their non-negativity and boundedness, are studied.
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Conclusion & Impact:Lastly, numerical examples are studied to verify the validity of the obtained newly results
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional derivative · Hopf bifurcation · Stability

Abstract

A fractional-order Leslie-Gower prey-predator-parasite system with delay is proposed in this article. The existence and uniqueness of the solutions, as well as their non-negativity and boundedness, are studied. Based on the characteristic equations and the conditions of stability and Hopf bifurcation, the local asymptotic stability of each equilibrium point and Hopf bifurcation of interior equilibrium point are investigated. Moreover, a Lyapunov function is constructed to prove the global asymptotic stability of the infection-free equilibrium point. Lastly, numerical examples are studied to verify the validity of the obtained newly results

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Cite This Article

YANG, X., YUAN, L., WEİ, Z. (2022). Stability and Hopf Bifurcation Analysis of a Fractional-order Leslie-Gower Prey-predator-parasite System with Delay. Chaos Theory and Applications, Cilt: 4 - Sayı: 2, 71–81. https://ajindex.com/articles/480937

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References (9)

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