Existence of limit cycles in a predator-prey system with a functional response
We consider the existence of limit cycles for a predator-prey system with a functional response. The system has two or more parameters that represent the intrinsic rate of the predator population. A necessary and sufficient condition for the uniqueness of limit cycles in this system is presented. Su...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100655X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552394028744704 |
|---|---|
| author | Basem S. Attili |
| author_facet | Basem S. Attili |
| author_sort | Basem S. Attili |
| collection | DOAJ |
| description | We consider the existence of limit cycles for a predator-prey
system with a functional response. The system has two or more
parameters that represent the intrinsic rate of the predator
population. A necessary and sufficient condition for the
uniqueness of limit cycles in this system is presented. Such
result will usually lead to a bifurcation curve. |
| format | Article |
| id | doaj-art-d4df12a63259438fbf123e1e51d5d91c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d4df12a63259438fbf123e1e51d5d91c2025-02-03T05:58:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127637738510.1155/S016117120100655XExistence of limit cycles in a predator-prey system with a functional responseBasem S. Attili0Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe consider the existence of limit cycles for a predator-prey system with a functional response. The system has two or more parameters that represent the intrinsic rate of the predator population. A necessary and sufficient condition for the uniqueness of limit cycles in this system is presented. Such result will usually lead to a bifurcation curve.http://dx.doi.org/10.1155/S016117120100655X |
| spellingShingle | Basem S. Attili Existence of limit cycles in a predator-prey system with a functional response International Journal of Mathematics and Mathematical Sciences |
| title | Existence of limit cycles in a predator-prey system with a functional response |
| title_full | Existence of limit cycles in a predator-prey system with a functional response |
| title_fullStr | Existence of limit cycles in a predator-prey system with a functional response |
| title_full_unstemmed | Existence of limit cycles in a predator-prey system with a functional response |
| title_short | Existence of limit cycles in a predator-prey system with a functional response |
| title_sort | existence of limit cycles in a predator prey system with a functional response |
| url | http://dx.doi.org/10.1155/S016117120100655X |
| work_keys_str_mv | AT basemsattili existenceoflimitcyclesinapredatorpreysystemwithafunctionalresponse |