On a Kind of Predator-Prey System

DOI10.1137/0520092zbMath0678.92013OpenAlexW2089944494WikidataQ115525691 ScholiaQ115525691MaRDI QIDQ3835348

Sunhong Ding

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520092

zbMATH Keywords

limit cyclepredator-prey systemPoincaré-Bendixson theoremnonexistence of periodic solutionsexistence of unique periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25)

Related Items (13)

Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response ⋮ Geometric criteria for the non-existence of cycles in predator-prey systems with group defense ⋮ On the predator-prey system with Holling-\((n+1)\) functional response ⋮ Geometric criteria for the nonexistence of cycles in Gause-type predator-prey systems ⋮ Existence of positive periodic solutions for nonautonomous predator-prey systems with discrete and continuously distributed delays ⋮ Global dynamics of a predator-prey model with general Holling type functional responses ⋮ Poincaré Map Construction for Some Classic Two Predators–One Prey Systems ⋮ On a predator-prey system of Holling type ⋮ Global dynamics of a predator-prey model ⋮ Global stability of the predator-prey model with a sigmoid functional response ⋮ Absence of limit cycles of a predator-prey system with a sigmoid functional response ⋮ Uniform global asymptotic stability for nonautonomous nonlinear dynamical systems ⋮ Uniqueness of the limit cycle for Gause-type predator-prey systems

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