Prey-predator interactions in two and three species population models

DOI10.1155/2019/9543139zbMath1453.92272OpenAlexW2912415897WikidataQ114613340 ScholiaQ114613340MaRDI QIDQ2296610

Arild Wikan, Ørjan Kristensen

Publication date: 18 February 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/9543139

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (5)

Bistability in a one-dimensional model of a two-predators-one-prey population dynamics system ⋮ Compensatory and overcompensatory dynamics in prey-predator systems exposed to harvest ⋮ Dynamical analysis and chaos control in discrete-time prey-predator model ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model ⋮ BIFURCATION AND CHAOS IN A DISCRETE PREDATOR–PREY MODEL WITH HOLLING TYPE-III FUNCTIONAL RESPONSE AND HARVESTING EFFECT

Cites Work

• Unnamed Item
• Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
• Dynamical behaviors of fractional-order Lotka-Volterra predator-prey model and its discretization
• Overcompensatory recruitment and generation delay in discrete age-structured population models
• Persistence in models of three interacting predator-prey populations
• The dynamic complexity of a three species food chain model
• Chaotic dynamics of a discrete prey-predator model with Holling type II
• Analysis of an age-structured fishery model
• The subcritical collapse of predator populations in discrete-time predator-prey models
• The dynamics of density dependent population models
• A nonlinear ergodic theorem for discrete systems
• From chaos to chaos. an analysis of a discrete age-structured prey-predator model
• Dynamical consequences of harvest in discrete age-structured population models
• Quantitative universality for a class of nonlinear transformations
• The effect of seasonal harvesting on stage-structured population models
• Permanence of single-species stage-structured models
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• A STRONG ERGODIC THEOREM FOR SOME NONLINEAR MATRIX MODELS FOR THE DYNAMICS OF STRUCTURED POPULATIONS
• Stability and Hopf Bifurcation in a Predator–Prey System with Several Parameters
• Multiparameter Bifurcation of a Predator-Prey System
• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Simple mathematical models with very complicated dynamics

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