Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment
We study two discrete predator-prey models in patchy environment, one without dispersal corridors and one with dispersal corridors. Dispersal corridors are passes that allow the migration of species from one patch to another and their existence may influence the permanence of the model. We will offe...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2015
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| Online Access: | https://hdl.handle.net/10356/99988 http://hdl.handle.net/10220/38680 |
| _version_ | 1811697181500899328 |
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| author | Wu, Chunqing Fan, Shengming Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Wu, Chunqing Fan, Shengming Wong, Patricia Jia Yiing |
| author_sort | Wu, Chunqing |
| collection | NTU |
| description | We study two discrete predator-prey models in patchy environment, one without dispersal corridors and one with dispersal corridors. Dispersal corridors are passes that allow the migration of species from one patch to another and their existence may influence the permanence of the model. We will offer sufficient conditions to guarantee the permanence of the two predator-prey models. By comparing the two permanence criteria, we discuss the effects of dispersal corridors on the permanence of the predator-prey model. It is found that the dispersion of the prey from one patch to another is helpful to the permanence of the prey if the population growth of the prey is density dependent; however, this dispersion of the prey could be disadvantageous or advantageous to the permanence of the predator. Five numerical examples are presented to confirm the theoretical results obtained and to illustrate the effects of dispersal corridors on the permanence of the predator-prey model. |
| first_indexed | 2024-10-01T07:51:11Z |
| format | Journal Article |
| id | ntu-10356/99988 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:51:11Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/999882020-03-07T14:00:32Z Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment Wu, Chunqing Fan, Shengming Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering We study two discrete predator-prey models in patchy environment, one without dispersal corridors and one with dispersal corridors. Dispersal corridors are passes that allow the migration of species from one patch to another and their existence may influence the permanence of the model. We will offer sufficient conditions to guarantee the permanence of the two predator-prey models. By comparing the two permanence criteria, we discuss the effects of dispersal corridors on the permanence of the predator-prey model. It is found that the dispersion of the prey from one patch to another is helpful to the permanence of the prey if the population growth of the prey is density dependent; however, this dispersion of the prey could be disadvantageous or advantageous to the permanence of the predator. Five numerical examples are presented to confirm the theoretical results obtained and to illustrate the effects of dispersal corridors on the permanence of the predator-prey model. Published version 2015-09-08T08:13:17Z 2019-12-06T20:14:32Z 2015-09-08T08:13:17Z 2019-12-06T20:14:32Z 2014 2014 Journal Article Wu, C., Fan, S., & Wong, P. J. Y. (2014). Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment. Abstract and Applied Analysis, 2014, 140902-. https://hdl.handle.net/10356/99988 http://hdl.handle.net/10220/38680 10.1155/2014/140902 en Abstract and Applied Analysis © 2014 Chunqing Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf |
| spellingShingle | Wu, Chunqing Fan, Shengming Wong, Patricia Jia Yiing Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title | Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title_full | Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title_fullStr | Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title_full_unstemmed | Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title_short | Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment |
| title_sort | theoretical studies on the effects of dispersal corridors on the permanence of discrete predator prey models in patchy environment |
| url | https://hdl.handle.net/10356/99988 http://hdl.handle.net/10220/38680 |
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