Cycles, chaos, and noise in predator-prey dynamics

DOI10.1016/S0960-0779(00)00180-6zbMath0977.92028OpenAlexW2005369383WikidataQ57030959 ScholiaQ57030959MaRDI QIDQ5939050

Bruce E. Kendall

Publication date: 22 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00180-6

zbMATH Keywords

noisesystem identificationtime seriesnonlinear dynamicshost-parasitoid model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40)

Related Items

OBSERVABILITY OF CHAOS AND CYCLES IN ECOLOGICAL SYSTEMS: LESSONS FROM PREDATOR–PREY MODELS ⋮ The chaos and control of a food chain model supplying additional food to top-predator ⋮ Complex dynamics in a discrete-time predator-prey system without Allee effect ⋮ Allee effect in a discrete-time predator-prey system ⋮ Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing ⋮ Detecting chaos requires careful analysis of nearly periodic data ⋮ On an exponential-type fuzzy difference equation ⋮ Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator. ⋮ Spatial complexity of a predator-prey model with Holling-type response ⋮ Dynamical properties of maps fitted to data in the noise-free limit ⋮ Bifurcations and dynamics of a discrete predator–prey system ⋮ EFFECT OF INHERITED GENETIC INFORMATION ON STOCHASTIC PREDATOR-PREY MODEL ⋮ The nonlinear analysis on a discrete host-parasitoid model with pesticidal interference ⋮ Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model ⋮ STABILITY SWITCHES IN DISCRETE FOOD-CHAIN PROBLEMS ⋮ Numerical Simulation of Nonlinear Ecological Models with Nonlocal and Nonsingular Fractional Derivative ⋮ Dynamical behaviors of a partial-dependent predator--prey system

Uses Software

• FUNFITS

Cites Work

• Unnamed Item
• Unnamed Item
• Effects of noise on some dynamical models in ecology
• Determining Lyapunov exponents from a time series
• Nonlinear prediction of chaotic time series
• The subcritical collapse of predator populations in discrete-time predator-prey models
• Inferring mechanism from time-series data: Delay-differential equations
• Estimating the Lyapunov Exponent of a Chaotic System With Nonparametric Regression