Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey
This research develops a model describing a relation between a predator and a prey where the prey species are divided into two classes i.e., susceptible prey species and the infected prey species. Furthermore, the susceptible prey species are also provided with a refuge. After this, the research exp...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S266133522450014X |
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| author | Shivani Sharma Ravi Shanker Dubey Arun Chaudhary |
| author_facet | Shivani Sharma Ravi Shanker Dubey Arun Chaudhary |
| author_sort | Shivani Sharma |
| collection | DOAJ |
| description | This research develops a model describing a relation between a predator and a prey where the prey species are divided into two classes i.e., susceptible prey species and the infected prey species. Furthermore, the susceptible prey species are also provided with a refuge. After this, the research expands the formulated model into a model with Caputo fractional derivative. A detailed analysis of the solution of Caputo fractional model for the predator–prey relation with a sickness in prey and a refuge to susceptible prey is done. Numerical solutions along with the simulations are briefed for the Caputo fractional model. Lastly, the phase portrait diagrams are also given for better understanding. |
| format | Article |
| id | doaj-art-2e237e15b0344ae09a1308cf7adbe57e |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-2e237e15b0344ae09a1308cf7adbe57e2025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S266133522450014XCaputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible preyShivani Sharma0Ravi Shanker Dubey1Arun Chaudhary2Department of Mathematics, ASAS, AMITY University Rajasthan, Jaipur 302002, IndiaDepartment of Mathematics, ASAS, AMITY University Rajasthan, Jaipur 302002, IndiaSri Aurobindo College Evening, University of Delhi, Delhi 110017, IndiaThis research develops a model describing a relation between a predator and a prey where the prey species are divided into two classes i.e., susceptible prey species and the infected prey species. Furthermore, the susceptible prey species are also provided with a refuge. After this, the research expands the formulated model into a model with Caputo fractional derivative. A detailed analysis of the solution of Caputo fractional model for the predator–prey relation with a sickness in prey and a refuge to susceptible prey is done. Numerical solutions along with the simulations are briefed for the Caputo fractional model. Lastly, the phase portrait diagrams are also given for better understanding.https://www.worldscientific.com/doi/10.1142/S266133522450014XPredator–preyfractional derivativeexistence and uniquenessnumerical solutions |
| spellingShingle | Shivani Sharma Ravi Shanker Dubey Arun Chaudhary Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey International Journal of Mathematics for Industry Predator–prey fractional derivative existence and uniqueness numerical solutions |
| title | Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey |
| title_full | Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey |
| title_fullStr | Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey |
| title_full_unstemmed | Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey |
| title_short | Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey |
| title_sort | caputo fractional model for the predator prey relation with sickness in prey and refuge to susceptible prey |
| topic | Predator–prey fractional derivative existence and uniqueness numerical solutions |
| url | https://www.worldscientific.com/doi/10.1142/S266133522450014X |
| work_keys_str_mv | AT shivanisharma caputofractionalmodelforthepredatorpreyrelationwithsicknessinpreyandrefugetosusceptibleprey AT ravishankerdubey caputofractionalmodelforthepredatorpreyrelationwithsicknessinpreyandrefugetosusceptibleprey AT arunchaudhary caputofractionalmodelforthepredatorpreyrelationwithsicknessinpreyandrefugetosusceptibleprey |