Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System

Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System

On the basis of the previous publications, a new fractional-order prey-predator model is set up. Firstly, we discuss the existence, uniqueness, and nonnegativity for the involved fractional-order prey-predator model. Secondly, by analyzing the characteristic equation of the considered fractional-ord...

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Main Author: Bingnan Tang
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6402459
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spelling doaj-0d02f11ab79b44ecbf2067c37112139d2021-03-08T02:01:28ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/6402459Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra SystemBingnan Tang0Business SchoolOn the basis of the previous publications, a new fractional-order prey-predator model is set up. Firstly, we discuss the existence, uniqueness, and nonnegativity for the involved fractional-order prey-predator model. Secondly, by analyzing the characteristic equation of the considered fractional-order Lotka–Volterra model and regarding the delay as bifurcation variable, we set up a new sufficient criterion to guarantee the stability behavior and the appearance of Hopf bifurcation for the addressed fractional-order Lotka–Volterra system. Thirdly, we perform the computer simulations with Matlab software to substantiate the rationalisation of the analysis conclusions. The obtained results play an important role in maintaining the balance of population in natural world.http://dx.doi.org/10.1155/2021/6402459
collection DOAJ
language English
format Article
sources DOAJ
author Bingnan Tang
spellingShingle Bingnan Tang
Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
Complexity
author_facet Bingnan Tang
author_sort Bingnan Tang
title Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
title_short Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
title_full Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
title_fullStr Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
title_full_unstemmed Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System
title_sort further study on dynamics for a fractional-order competitor-competitor-mutualist lotka–volterra system
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description On the basis of the previous publications, a new fractional-order prey-predator model is set up. Firstly, we discuss the existence, uniqueness, and nonnegativity for the involved fractional-order prey-predator model. Secondly, by analyzing the characteristic equation of the considered fractional-order Lotka–Volterra model and regarding the delay as bifurcation variable, we set up a new sufficient criterion to guarantee the stability behavior and the appearance of Hopf bifurcation for the addressed fractional-order Lotka–Volterra system. Thirdly, we perform the computer simulations with Matlab software to substantiate the rationalisation of the analysis conclusions. The obtained results play an important role in maintaining the balance of population in natural world.
url http://dx.doi.org/10.1155/2021/6402459
work_keys_str_mv AT bingnantang furtherstudyondynamicsforafractionalordercompetitorcompetitormutualistlotkavolterrasystem
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