NOISE AND SEASONAL EFFECTS ON THE DYNAMICS OF PLANT–HERBIVORE MODELS WITH MONOTONIC PLANT GROWTH FUNCTIONS

DOI10.1142/S1793524511001234zbMath1247.37091arXiv1102.2279OpenAlexW2964092955MaRDI QIDQ2888844

Yun Kang, Dieter Armbruster

Publication date: 4 June 2012

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2279

zbMATH Keywords

Neimark-Sacker bifurcationbistabilityheteroclinic bifurcationuniformly persistentcrisis of chaosmonotone growth modelsnoise burstingperiodic infestations

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (4)

Dynamics analysis of a stochastic SIR epidemic model ⋮ Separate seasons of infection and reproduction can lead to multi-year population cycles ⋮ Dynamics of a discrete-time stage-structured predator-prey system with Holling type II response function ⋮ Bifurcations, permanence and local behavior of the plant-herbivore model with logistic growth of plant biomass

Cites Work

• A theorem on average Liapunov functions
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• Sensitive dependence to initial conditions for one dimensional maps
• Chaos in functional response host - parasitoid ecosystem models
• Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points
• Multiple attractors in host-parasitoid interactions: coexistence and extinction
• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• Dynamics of a plant–herbivore model
• Allee effects in a discrete-time host-parasitoid model

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