$Stability analysis of a fractional-order two-species facultative mutualism model with harvesting$

Stability analysis of a fractional-order two-species facultative mutualism model with harvesting

© 2017, The Author(s). We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the posit...

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Main Authors:	Nattakan Supajaidee, Sompop Moonchai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85036553582&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57506
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-575062018-09-05T03:44:08Z Stability analysis of a fractional-order two-species facultative mutualism model with harvesting Nattakan Supajaidee Sompop Moonchai Mathematics © 2017, The Author(s). We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study. 2018-09-05T03:44:08Z 2018-09-05T03:44:08Z 2017-12-01 Journal 16871847 16871839 2-s2.0-85036553582 10.1186/s13662-017-1430-9 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85036553582&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57506
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Nattakan Supajaidee Sompop Moonchai Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
description	© 2017, The Author(s). We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study.
format	Journal
author	Nattakan Supajaidee Sompop Moonchai
author_facet	Nattakan Supajaidee Sompop Moonchai
author_sort	Nattakan Supajaidee
title	Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
title_short	Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
title_full	Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
title_fullStr	Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
title_full_unstemmed	Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
title_sort	stability analysis of a fractional-order two-species facultative mutualism model with harvesting
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85036553582&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57506
_version_	1681424891506589696

Stability analysis of a fractional-order two-species facultative mutualism model with harvesting

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