On a Kind of Predator-Prey System
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Summary: In this paper a kind of predator-prey system given by \textit{S. B. Hsu}, \textit{S. P. Hubbel} and \textit{P. Waltman} [SIAM J. Appl. Math. 35, 617-625 (1978; Zbl 0394.92025)] is considered. Utilizing the theory of ordinary differential equations, two theorems for a general predator-prey system are proved, completing the investigation of the predator-prey system.
limit cycle, Population dynamics (general), Poincaré-Bendixson theorem, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, predator-prey system, existence of unique periodic solutions, nonexistence of periodic solutions, Periodic solutions to ordinary differential equations
limit cycle, Population dynamics (general), Poincaré-Bendixson theorem, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, predator-prey system, existence of unique periodic solutions, nonexistence of periodic solutions, Periodic solutions to ordinary differential equations
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