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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100655X |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |