Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise
The current paper is devoted to the stochastic N-species cooperative system with a moderately strong noise. By the theory of monotone random systems and the technique of suitable marker of wavefront, the existence of the travelling wave solution is established. By applying the Feynman-Kac formula an...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023225?viewType=HTML |
| _version_ | 1827823148282675200 |
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| author | Hao Wen Yantao Luo Jianhua Huang Yuhong Li |
| author_facet | Hao Wen Yantao Luo Jianhua Huang Yuhong Li |
| author_sort | Hao Wen |
| collection | DOAJ |
| description | The current paper is devoted to the stochastic N-species cooperative system with a moderately strong noise. By the theory of monotone random systems and the technique of suitable marker of wavefront, the existence of the travelling wave solution is established. By applying the Feynman-Kac formula and sup-sub solution technique, the upper and lower bounded of the asymptotic wave speed are also obtained. Finally, we give an example for stochastic 3-species cooperative systems. |
| first_indexed | 2024-03-12T02:07:03Z |
| format | Article |
| id | doaj.art-3c1c4daad9354996b7ed717e5e9faf78 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-03-12T02:07:03Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-3c1c4daad9354996b7ed717e5e9faf782023-09-07T02:37:38ZengAIMS PressElectronic Research Archive2688-15942023-06-013184406442610.3934/era.2023225Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noiseHao Wen 0Yantao Luo1Jianhua Huang2Yuhong Li 31. China Aerodynamics Research and Development Center, Mianyang 621000, China2. College of Science, National University of Defense Technology, Changsha 410073, China2. College of Science, National University of Defense Technology, Changsha 410073, China3. School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaThe current paper is devoted to the stochastic N-species cooperative system with a moderately strong noise. By the theory of monotone random systems and the technique of suitable marker of wavefront, the existence of the travelling wave solution is established. By applying the Feynman-Kac formula and sup-sub solution technique, the upper and lower bounded of the asymptotic wave speed are also obtained. Finally, we give an example for stochastic 3-species cooperative systems.https://www.aimspress.com/article/doi/10.3934/era.2023225?viewType=HTMLn-species stochastic cooperative systemfeynman-kac formulastochastic travelling wavesasymptotic wave speed |
| spellingShingle | Hao Wen Yantao Luo Jianhua Huang Yuhong Li Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise Electronic Research Archive n-species stochastic cooperative system feynman-kac formula stochastic travelling waves asymptotic wave speed |
| title | Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise |
| title_full | Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise |
| title_fullStr | Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise |
| title_full_unstemmed | Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise |
| title_short | Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise |
| title_sort | stochastic travelling wave solution of the n species cooperative systems with multiplicative noise |
| topic | n-species stochastic cooperative system feynman-kac formula stochastic travelling waves asymptotic wave speed |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023225?viewType=HTML |
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