An effective Allee effect may induce the survival of low-density predator
Allee effect, as one of the research hotspots in ecology and conservation biology, extremely easily affects the distribution of population in space, especially for the low-density population. In the ecosystem, the spatial distribution of predator is more vulnerable to Allee effect since the density...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723007192 |
| _version_ | 1797660548631887872 |
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| author | Li-Ying Ning Xiao-Feng Luo Bai-Lian Li Yong-Ping Wu Gui-Quan Sun Tai-Chen Feng |
| author_facet | Li-Ying Ning Xiao-Feng Luo Bai-Lian Li Yong-Ping Wu Gui-Quan Sun Tai-Chen Feng |
| author_sort | Li-Ying Ning |
| collection | DOAJ |
| description | Allee effect, as one of the research hotspots in ecology and conservation biology, extremely easily affects the distribution of population in space, especially for the low-density population. In the ecosystem, the spatial distribution of predator is more vulnerable to Allee effect since the density of predator is always smaller than that of prey, but the relevant attention paid to it is few. In this paper, we establish and analyze a spatial predator–prey system incorporating Allee effect on predator population. Theoretically, we use multi-scale analysis to derive the amplitude equation and obtain the different Turing patterns under different intensities of Allee effect. Numerically, we verify the theoretical results. We also find that the growth rate of predator is significantly inhibited and the time of reaching equilibrium tends to be slower with the increase of Allee effect intensity within certain limits. More interestingly, it is discovered that the predator under Allee effect in a certain extent is more stable although Allee effect on predator may lead to more complex dynamic behaviors. Our results help better understand species invasion and nature conservation in ecology. |
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| format | Article |
| id | doaj.art-fccd297363f64644801e8210d9f27fdf |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T18:31:30Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-fccd297363f64644801e8210d9f27fdf2023-10-13T11:04:07ZengElsevierResults in Physics2211-37972023-10-0153106926An effective Allee effect may induce the survival of low-density predatorLi-Ying Ning0Xiao-Feng Luo1Bai-Lian Li2Yong-Ping Wu3Gui-Quan Sun4Tai-Chen Feng5School of Mathematics, North University of China, Shanxi, Taiyuan 030051, ChinaSchool of Mathematics, North University of China, Shanxi, Taiyuan 030051, ChinaDepartment of Botany and Plant Sciences, University of California, Riverside, CA 92521-0124, USACollege of Physics Science and Technology, Yangzhou University, Yangzhou, Jiangsu 225002, ChinaSchool of Mathematics, North University of China, Shanxi, Taiyuan 030051, China; Complex Systems Research Center, Shanxi University, Taiyuan 030006, China; Corresponding author at: School of Mathematics, North University of China, Shanxi, Taiyuan 030051, China.School of Atmospheric Sciences, and Key Laboratory of Tropical Atmosphere-Ocean System, Ministry of Education, Sun Yat-sen University, Zhuhai 519082, ChinaAllee effect, as one of the research hotspots in ecology and conservation biology, extremely easily affects the distribution of population in space, especially for the low-density population. In the ecosystem, the spatial distribution of predator is more vulnerable to Allee effect since the density of predator is always smaller than that of prey, but the relevant attention paid to it is few. In this paper, we establish and analyze a spatial predator–prey system incorporating Allee effect on predator population. Theoretically, we use multi-scale analysis to derive the amplitude equation and obtain the different Turing patterns under different intensities of Allee effect. Numerically, we verify the theoretical results. We also find that the growth rate of predator is significantly inhibited and the time of reaching equilibrium tends to be slower with the increase of Allee effect intensity within certain limits. More interestingly, it is discovered that the predator under Allee effect in a certain extent is more stable although Allee effect on predator may lead to more complex dynamic behaviors. Our results help better understand species invasion and nature conservation in ecology.http://www.sciencedirect.com/science/article/pii/S2211379723007192Allee effectPredator–prey systemMulti-scale analysisTuring pattern |
| spellingShingle | Li-Ying Ning Xiao-Feng Luo Bai-Lian Li Yong-Ping Wu Gui-Quan Sun Tai-Chen Feng An effective Allee effect may induce the survival of low-density predator Results in Physics Allee effect Predator–prey system Multi-scale analysis Turing pattern |
| title | An effective Allee effect may induce the survival of low-density predator |
| title_full | An effective Allee effect may induce the survival of low-density predator |
| title_fullStr | An effective Allee effect may induce the survival of low-density predator |
| title_full_unstemmed | An effective Allee effect may induce the survival of low-density predator |
| title_short | An effective Allee effect may induce the survival of low-density predator |
| title_sort | effective allee effect may induce the survival of low density predator |
| topic | Allee effect Predator–prey system Multi-scale analysis Turing pattern |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723007192 |
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