Abstract
By comparison with the Lotka-Volterra system, we obtain a theorem concerning the nonuniqueness of limit cycles of a Gause–type predator-prey system. The method we develope here can be generalized. Moreover, we disprove a conjecture posed by H.I. Freedman by constructing an example of a system with a strictly concave down prey isocline which has at least three limit cycles.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 269-287 |
| Number of pages | 19 |
| Journal | Applicable Analysis |
| Volume | 29 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Jan 1 1988 |
| Externally published | Yes |
Keywords
- Gause-type predator-prey system
- Limit cycle
- Lotka–Volterra system
- prey isocline
ASJC Scopus subject areas
- Analysis
- Applied Mathematics