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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th-cmuir.6653943832-434392018-04-25T07:34:52Z Stability analysis of a fractional-order two-species facultative mutualism model with harvesting Nattakan Supajaidee Sompop Moonchai Mathematics Agricultural and Biological Sciences Arts and Humanities © 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. 2018-01-24T03:48:34Z 2018-01-24T03:48:34Z 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/6653943832/43439 |
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Mathematics Agricultural and Biological Sciences Arts and Humanities |
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Mathematics Agricultural and Biological Sciences Arts and Humanities 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/6653943832/43439 |
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1681422373290508288 |