Predator–Prey Models: A Review of Some Recent Advances
In recent years, predator–prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper is to give a state-of-the-art review of recent predator–prey mo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/15/1783 |
| _version_ | 1797525302568550400 |
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| author | Érika Diz-Pita M. Victoria Otero-Espinar |
| author_facet | Érika Diz-Pita M. Victoria Otero-Espinar |
| author_sort | Érika Diz-Pita |
| collection | DOAJ |
| description | In recent years, predator–prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper is to give a state-of-the-art review of recent predator–prey models which include some interesting characteristics such as Allee effect, fear effect, cannibalism, and immigration. We compare the qualitative results obtained for each of them, particularly regarding the equilibria, local and global stability, and the existence of limit cycles. |
| first_indexed | 2024-03-10T09:11:50Z |
| format | Article |
| id | doaj.art-36de84184eb2424dab97a60690b4c83f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:11:50Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-36de84184eb2424dab97a60690b4c83f2023-11-22T05:56:36ZengMDPI AGMathematics2227-73902021-07-01915178310.3390/math9151783Predator–Prey Models: A Review of Some Recent AdvancesÉrika Diz-Pita0M. Victoria Otero-Espinar1Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainIn recent years, predator–prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper is to give a state-of-the-art review of recent predator–prey models which include some interesting characteristics such as Allee effect, fear effect, cannibalism, and immigration. We compare the qualitative results obtained for each of them, particularly regarding the equilibria, local and global stability, and the existence of limit cycles.https://www.mdpi.com/2227-7390/9/15/1783predator–preyLotka–VolterraAllee effectfear effectcannibalismimmigration |
| spellingShingle | Érika Diz-Pita M. Victoria Otero-Espinar Predator–Prey Models: A Review of Some Recent Advances Mathematics predator–prey Lotka–Volterra Allee effect fear effect cannibalism immigration |
| title | Predator–Prey Models: A Review of Some Recent Advances |
| title_full | Predator–Prey Models: A Review of Some Recent Advances |
| title_fullStr | Predator–Prey Models: A Review of Some Recent Advances |
| title_full_unstemmed | Predator–Prey Models: A Review of Some Recent Advances |
| title_short | Predator–Prey Models: A Review of Some Recent Advances |
| title_sort | predator prey models a review of some recent advances |
| topic | predator–prey Lotka–Volterra Allee effect fear effect cannibalism immigration |
| url | https://www.mdpi.com/2227-7390/9/15/1783 |
| work_keys_str_mv | AT erikadizpita predatorpreymodelsareviewofsomerecentadvances AT mvictoriaoteroespinar predatorpreymodelsareviewofsomerecentadvances |