Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden
In this paper, we propose a stochastic delay mutualistic model of leaf-cutter ants with stage structure and their fungus garden, in which we explore how the discrete delay and white noise affect the dynamic of the population system. The existence and uniqueness of global positive solution are proved...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2022.2099590 |
| _version_ | 1828402054734807040 |
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| author | Ruimin Zhang Xiaohui Liu Chunjin Wei |
| author_facet | Ruimin Zhang Xiaohui Liu Chunjin Wei |
| author_sort | Ruimin Zhang |
| collection | DOAJ |
| description | In this paper, we propose a stochastic delay mutualistic model of leaf-cutter ants with stage structure and their fungus garden, in which we explore how the discrete delay and white noise affect the dynamic of the population system. The existence and uniqueness of global positive solution are proved, and the asymptotic behaviours of the stochastic model around the positive equilibrium point of the deterministic model are also investigated. Furthermore, the sufficient conditions for the persistence of the population are established. Finally, some numerical simulations are performed to show the effect of random environmental fluctuation on the model. |
| first_indexed | 2024-12-10T09:55:11Z |
| format | Article |
| id | doaj.art-6ce78a65f0be44f7b9d4d6ceca213206 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-10T09:55:11Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-6ce78a65f0be44f7b9d4d6ceca2132062022-12-22T01:53:31ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662022-12-0116156558410.1080/17513758.2022.2099590Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus gardenRuimin Zhang0Xiaohui Liu1Chunjin Wei2School of Science, Jimei University, Xiamen, People's Republic of ChinaSchool of Science, Jimei University, Xiamen, People's Republic of ChinaSchool of Science, Jimei University, Xiamen, People's Republic of ChinaIn this paper, we propose a stochastic delay mutualistic model of leaf-cutter ants with stage structure and their fungus garden, in which we explore how the discrete delay and white noise affect the dynamic of the population system. The existence and uniqueness of global positive solution are proved, and the asymptotic behaviours of the stochastic model around the positive equilibrium point of the deterministic model are also investigated. Furthermore, the sufficient conditions for the persistence of the population are established. Finally, some numerical simulations are performed to show the effect of random environmental fluctuation on the model.https://www.tandfonline.com/doi/10.1080/17513758.2022.2099590Stochastic mutualistic systemdiscrete delayLyapunov functionstability |
| spellingShingle | Ruimin Zhang Xiaohui Liu Chunjin Wei Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden Journal of Biological Dynamics Stochastic mutualistic system discrete delay Lyapunov function stability |
| title | Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden |
| title_full | Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden |
| title_fullStr | Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden |
| title_full_unstemmed | Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden |
| title_short | Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden |
| title_sort | dynamic analysis of stochastic delay mutualistic system of leaf cutter ants with stage structure and their fungus garden |
| topic | Stochastic mutualistic system discrete delay Lyapunov function stability |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2022.2099590 |
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