Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response
In this paper, we have investigated a spatial predator-prey system with hunting cooperation in predators and type-I functional response. Using linear stability analysis, we obtain the stipulations for diffusive instability and identify the corresponding domain in the space of control parameters. Usi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020045/fulltext.html |
| _version_ | 1818296019392135168 |
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| author | Teekam Singh Ramu Dubey Vishnu Narayan Mishra |
| author_facet | Teekam Singh Ramu Dubey Vishnu Narayan Mishra |
| author_sort | Teekam Singh |
| collection | DOAJ |
| description | In this paper, we have investigated a spatial predator-prey system with hunting cooperation in predators and type-I functional response. Using linear stability analysis, we obtain the stipulations for diffusive instability and identify the corresponding domain in the space of control parameters. Using qualitative and quantitative analysis, we obtain complex patterns, namely, spotted pattern, stripe pattern and mixed pattern in the Turing domain, by varying the rate of hunting cooperation in predators and diffusion coefficients of prey and predators. The results focus on the effect of hunting cooperation in pattern dynamics of a diffusive predator-prey model and help us in better understanding of the dynamics of the predator-prey interaction in real environment. |
| first_indexed | 2024-12-13T03:56:53Z |
| format | Article |
| id | doaj.art-de4c30bc153e48349313bf77bb7ec26a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T03:56:53Z |
| publishDate | 2020-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-de4c30bc153e48349313bf77bb7ec26a2022-12-22T00:00:36ZengAIMS PressAIMS Mathematics2473-69882020-01-015167368410.3934/math.2020045Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional responseTeekam Singh0Ramu Dubey1Vishnu Narayan Mishra21 School of Allied Sciences, Department of Mathematics, Graphic Era (deemed to be) University, Dehradun, Uttarakhand, PO 248 002, India 2 Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, PO 248 002, India3 Department of Mathematics, J C Bose University of Science and Technology, YMCA, Faridabad, Haryana, PO 121 006, India4 Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, Madhya Pradesh, PO 484 887, IndiaIn this paper, we have investigated a spatial predator-prey system with hunting cooperation in predators and type-I functional response. Using linear stability analysis, we obtain the stipulations for diffusive instability and identify the corresponding domain in the space of control parameters. Using qualitative and quantitative analysis, we obtain complex patterns, namely, spotted pattern, stripe pattern and mixed pattern in the Turing domain, by varying the rate of hunting cooperation in predators and diffusion coefficients of prey and predators. The results focus on the effect of hunting cooperation in pattern dynamics of a diffusive predator-prey model and help us in better understanding of the dynamics of the predator-prey interaction in real environment.https://www.aimspress.com/article/10.3934/math.2020045/fulltext.htmlhunting cooperationspatial patternsdiffusive instabilityreaction-diffusion equationsturing bifurcation |
| spellingShingle | Teekam Singh Ramu Dubey Vishnu Narayan Mishra Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response AIMS Mathematics hunting cooperation spatial patterns diffusive instability reaction-diffusion equations turing bifurcation |
| title | Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response |
| title_full | Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response |
| title_fullStr | Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response |
| title_full_unstemmed | Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response |
| title_short | Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response |
| title_sort | spatial dynamics of predator prey system with hunting cooperation in predators and type i functional response |
| topic | hunting cooperation spatial patterns diffusive instability reaction-diffusion equations turing bifurcation |
| url | https://www.aimspress.com/article/10.3934/math.2020045/fulltext.html |
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