Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion
One of the most efficient predator-prey models with spatial effects is the one with ratio-dependent functional response. However, there is a need to further explore the effects of spatial motion on the dynamic behavior of population. In this work, we study a ratio-dependent predator-prey model with...
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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/10.1155/2021/6657405 |
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| _version_ | 1832555007037145088 |
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| author | Caiyun Wang Jing Li Ruiqiang He |
| author_facet | Caiyun Wang Jing Li Ruiqiang He |
| author_sort | Caiyun Wang |
| collection | DOAJ |
| description | One of the most efficient predator-prey models with spatial effects is the one with ratio-dependent functional response. However, there is a need to further explore the effects of spatial motion on the dynamic behavior of population. In this work, we study a ratio-dependent predator-prey model with diffusion terms. The aim of this work is to investigate the changes in predator’s distribution in space as the prey populations change their mobility. We observe that the frequency diffusion of the prey gives rise to the sparse density of the predator. Moreover, we also observe that the increasing rate of the conversion into predator biomass induces pattern transitions of the predator. Specifically speaking, Turing pattern of the predator populations goes gradually from a spotted pattern to a black-eye pattern, with the intermediate state being the mixture of spot and stripe pattern. The simulation results and analysis of this work illustrate that the diffusion rate and the real intrinsic factor influence the persistence of the predator-prey system mutually. |
| format | Article |
| id | doaj-art-9da399bf14b248e5a7853875ef020ffb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9da399bf14b248e5a7853875ef020ffb2025-02-03T05:49:51ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66574056657405Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial MotionCaiyun Wang0Jing Li1Ruiqiang He2Department of Mathematics, Xinzhou Teachers University, Xinzhou, Shanxi 034000, ChinaShanxi Universtity of Finance and Economics, Taiyuan, Shanxi 034006, ChinaDepartment of Mathematics, Xinzhou Teachers University, Xinzhou, Shanxi 034000, ChinaOne of the most efficient predator-prey models with spatial effects is the one with ratio-dependent functional response. However, there is a need to further explore the effects of spatial motion on the dynamic behavior of population. In this work, we study a ratio-dependent predator-prey model with diffusion terms. The aim of this work is to investigate the changes in predator’s distribution in space as the prey populations change their mobility. We observe that the frequency diffusion of the prey gives rise to the sparse density of the predator. Moreover, we also observe that the increasing rate of the conversion into predator biomass induces pattern transitions of the predator. Specifically speaking, Turing pattern of the predator populations goes gradually from a spotted pattern to a black-eye pattern, with the intermediate state being the mixture of spot and stripe pattern. The simulation results and analysis of this work illustrate that the diffusion rate and the real intrinsic factor influence the persistence of the predator-prey system mutually.http://dx.doi.org/10.1155/2021/6657405 |
| spellingShingle | Caiyun Wang Jing Li Ruiqiang He Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion Complexity |
| title | Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion |
| title_full | Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion |
| title_fullStr | Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion |
| title_full_unstemmed | Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion |
| title_short | Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion |
| title_sort | complex dynamics of a ratio dependent predator prey model induced by spatial motion |
| url | http://dx.doi.org/10.1155/2021/6657405 |
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