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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6402459 |
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| _version_ | 1832547615530549248 |
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| author | Bingnan Tang |
| author_facet | Bingnan Tang |
| author_sort | Bingnan Tang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0d02f11ab79b44ecbf2067c37112139d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0d02f11ab79b44ecbf2067c37112139d2025-02-03T06:43:55ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/64024596402459Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra SystemBingnan Tang0Business School, Jiangsu University of Technology, Changzhou 213001, ChinaOn 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 |
| spellingShingle | Bingnan Tang Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka–Volterra System Complexity |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/6402459 |
| work_keys_str_mv | AT bingnantang furtherstudyondynamicsforafractionalordercompetitorcompetitormutualistlotkavolterrasystem |