On the Uniqueness of a Limit Cycle for a Predator-Prey System
From MaRDI portal
Publication:3801896
DOI10.1137/0519060zbMath0655.34022OpenAlexW2054732952WikidataQ115525693 ScholiaQ115525693MaRDI QIDQ3801896
Kuo-Shung Cheng, Lii-Perng Liou
Publication date: 1988
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0519060
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (20)
Profile of the unique limit cycle in a class of general predator-prey systems ⋮ A Predator-Prey model in the chemostat with Holling Type II response function ⋮ Global stability of a predator-prey system ⋮ Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model ⋮ On the location and period of limit cycles in Gause-type predator-prey systems ⋮ Uniqueness of limit cycles in liénard-type equations ⋮ Nonuniqueness of limit cycles of gause-type predator-prey systems ⋮ Stability of Rosenzweig-MacArthur models with non-diffusive dispersal on non-regular networks ⋮ The discrete Rosenzweig model ⋮ Boundedness of solutions and existence of limit cycles for a nonlinear system ⋮ Sensitivity of the dynamics of the general Rosenzweig-Macarthur model to the mathematical form of the functional response: a bifurcation theory approach ⋮ Structural stability analysis of an algal bloom mathematical model in tropic interaction ⋮ The dynamics of the jellyfish joyride: mathematical discussion of the causes leading to blooming ⋮ A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model ⋮ Non-smooth ecological systems with a switching threshold depending on the pest density and its rate of change ⋮ Uniqueness of limit cycle in the predator-prey system with symmetric prey isocline ⋮ Global analysis of a predator-prey model with variable predator search rate ⋮ On a predator-prey system of Gause type ⋮ Uniqueness of the limit cycle for Gause-type predator-prey systems ⋮ Uniqueness of limit cycles in predator--prey system: The role of weight functions
This page was built for publication: On the Uniqueness of a Limit Cycle for a Predator-Prey System