Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
In this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/3948621 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562778981793792 |
|---|---|
| author | Xinli Li Ming Zhang |
| author_facet | Xinli Li Ming Zhang |
| author_sort | Xinli Li |
| collection | DOAJ |
| description | In this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for this system. |
| format | Article |
| id | doaj-art-f3b3eb9d07a54a36b5748c62a494460c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f3b3eb9d07a54a36b5748c62a494460c2025-02-03T01:21:52ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/39486213948621Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear EffectXinli Li0Ming Zhang1Logistic School, Linyi University, Linyi 276000, ChinaCollege of Information Science and Engineering, Linyi University, Linyi 276000, ChinaIn this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for this system.http://dx.doi.org/10.1155/2019/3948621 |
| spellingShingle | Xinli Li Ming Zhang Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect Journal of Function Spaces |
| title | Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect |
| title_full | Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect |
| title_fullStr | Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect |
| title_full_unstemmed | Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect |
| title_short | Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect |
| title_sort | integrability and multiple limit cycles in a predator prey system with fear effect |
| url | http://dx.doi.org/10.1155/2019/3948621 |
| work_keys_str_mv | AT xinlili integrabilityandmultiplelimitcyclesinapredatorpreysystemwithfeareffect AT mingzhang integrabilityandmultiplelimitcyclesinapredatorpreysystemwithfeareffect |