The minimal invasion speed of two competing species in homogeneous environment
Biological invasion has become an important element of global changes. In this paper, we use a reaction-diffusion system to discuss the minimal invasion speed of two competing species in the homogeneous environment. The general condition for the minimum invasion speed is obtained by applying the the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2023-11-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/16801 |
| _version_ | 1797294380540755968 |
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| author | Xu Li Tingting Zhang Qiming Zhang |
| author_facet | Xu Li Tingting Zhang Qiming Zhang |
| author_sort | Xu Li |
| collection | DOAJ |
| description | Biological invasion has become an important element of global changes. In this paper, we use a reaction-diffusion system to discuss the minimal invasion speed of two competing species in the homogeneous environment. The general condition for the minimum invasion speed is obtained by applying the theory of propagation dynamics. Then the explicit conditions are derived by constructing upper solutions. The analytical results are corroborated by simulations of the considered reaction-diffusion system. Our results reveal the impact of the diffusion rate, growth rate, competitiveness of the species, as well as the carrying capacity of the environment, on the invasion speed, which provides an effective method for preventing biological invasion and controlling existing biological invasion. |
| first_indexed | 2024-03-07T21:29:26Z |
| format | Article |
| id | doaj.art-17bf09654af7460dadb210c913598ae7 |
| institution | Directory Open Access Journal |
| issn | 2563-1926 |
| language | English |
| last_indexed | 2024-03-07T21:29:26Z |
| publishDate | 2023-11-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj.art-17bf09654af7460dadb210c913598ae72024-02-26T18:53:21ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262023-11-014433935010.5206/mase/1680111058The minimal invasion speed of two competing species in homogeneous environmentXu Li0Tingting Zhang1Qiming Zhang2Zhejiang sci-Tech University;}Zhejiang sci-Tech UniversityZhejiang sci-Tech UniversityBiological invasion has become an important element of global changes. In this paper, we use a reaction-diffusion system to discuss the minimal invasion speed of two competing species in the homogeneous environment. The general condition for the minimum invasion speed is obtained by applying the theory of propagation dynamics. Then the explicit conditions are derived by constructing upper solutions. The analytical results are corroborated by simulations of the considered reaction-diffusion system. Our results reveal the impact of the diffusion rate, growth rate, competitiveness of the species, as well as the carrying capacity of the environment, on the invasion speed, which provides an effective method for preventing biological invasion and controlling existing biological invasion.https://ojs.lib.uwo.ca/index.php/mase/article/view/16801minimum invasion speed, reaction-diffusion system, nonlinear competition, propagation dynamics, homogeneous environment. |
| spellingShingle | Xu Li Tingting Zhang Qiming Zhang The minimal invasion speed of two competing species in homogeneous environment Mathematics in Applied Sciences and Engineering minimum invasion speed, reaction-diffusion system, nonlinear competition, propagation dynamics, homogeneous environment. |
| title | The minimal invasion speed of two competing species in homogeneous environment |
| title_full | The minimal invasion speed of two competing species in homogeneous environment |
| title_fullStr | The minimal invasion speed of two competing species in homogeneous environment |
| title_full_unstemmed | The minimal invasion speed of two competing species in homogeneous environment |
| title_short | The minimal invasion speed of two competing species in homogeneous environment |
| title_sort | minimal invasion speed of two competing species in homogeneous environment |
| topic | minimum invasion speed, reaction-diffusion system, nonlinear competition, propagation dynamics, homogeneous environment. |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/16801 |
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