DYNAMICS OF MODIFIED PREDATOR-PREY MODELS

DOI10.1142/S0218127410027271zbMath1202.34086OpenAlexW2087858481WikidataQ115523847 ScholiaQ115523847MaRDI QIDQ3065777

Peter E. Kloeden, Christian Poetzsche

Publication date: 6 January 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410027271

zbMATH Keywords

global attractorLotka-Volterra equationsPoincaré mappredator-prey modelsrepellernonsmooth dynamical systematto-fox problemlinearly modified Lotka-Volterra equationsprinciple of mass action

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45)

Related Items (3)

Dynamics of a diffusive prey-predator system with strong Allee effect growth rate and a protection zone for the prey ⋮ On real-valued SDE and nonnegative-valued SDE population models with demographic variability ⋮ HOPF BIFURCATION INDUCED BY NEUTRAL DELAY IN A PREDATOR–PREY SYSTEM

Cites Work

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• A remark on the period of the periodic solution in the Lotka-Volterra system
• Dependence of epidemic and population velocities on basic parameters
• On global stability of a predator-prey system
• A Lyapunov function for Leslie-Gower predator-prey models
• On the Lambert \(w\) function
• Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-dimensional Maps

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