On the uniqueness of a limit cycle of the general Liénard equation. (Chinese. English summary) Zbl 1124.34328
Summary: A theorem on the uniqueness of a limit cycle of the general Liénard equation is proved. Applying this theorem to a predator-prey model with undercrowding effect, it is proved that the predator-prey system has at most one limit cycle around the positive weak singular point.
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 92D25 | Population dynamics (general) |
