A detailed study of the Beddington-DeAngelis predator-prey model
From MaRDI portal
Publication:430212
DOI10.1016/j.mbs.2011.07.003zbMath1402.92345OpenAlexW1988076411WikidataQ51542904 ScholiaQ51542904MaRDI QIDQ430212
Publication date: 21 June 2012
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2011.07.003
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stochastic stability in control theory (93E15)
Related Items (67)
Pattern dynamics in a diffusive predator-prey model with hunting cooperations ⋮ Stability and direction of Hopf bifurcations of a cyclical growth model with two-time delays and one-delay dependent coefficients ⋮ Bifurcations in the diffusive Bazykin model ⋮ Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations ⋮ Effect of prey refuge on spatiotemporal dynamics of the reaction-diffusion system ⋮ Effects of additional food on an ecoepidemic model with time delay on infection ⋮ Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis ⋮ Analysis on bifurcation for a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting ⋮ The joint effects of diffusion and delay on the stability of a ratio-dependent predator-prey model ⋮ Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions ⋮ On a non-selective harvesting prey-predator model with Hassell-Varley type functional response ⋮ Dynamical complexity of a spatial phytoplankton-zooplankton model with an alternative prey and refuge effect ⋮ Asymptotic analysis of schistosomiasis persistence in models with general functions ⋮ A mathematical analysis of Hopf-bifurcation in a prey-predator model with nonlinear functional response ⋮ Functional response and population dynamics for fighting predator, based on activity distribution ⋮ Complexity analysis of a modified predator-prey system with Beddington-DeAngelis functional response and Allee-like effect on predator ⋮ Poincaré map approach to global dynamics of the integrated pest management prey-predator model ⋮ Predator-prey dynamics with square root functional responses ⋮ Impact of discontinuous harvesting policies on prey–predator system with Hassell–Varley-type functional response ⋮ Predator-prey models with component Allee effect for predator reproduction ⋮ Spatial deployment and performance of diffusion coefficients of two preys and one predator ecological system ⋮ Understanding the Toxic Effect on Marin Food Chain Ecosystem: A Mathematical Approach and Optimal Control Technique ⋮ Diverse self-organized patterns and complex pattern transitions in a discrete ratio-dependent predator-prey system ⋮ Qualitative analysis of a spatiotemporal prey-predator model with multiple Allee effect and schooling behaviour ⋮ Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition ⋮ Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response ⋮ Stability scenarios and period‐doubling onset of chaos in a population model with delayed harvesting ⋮ The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate ⋮ Predator interference effects on biological control: the ``paradox of the generalist predator revisited ⋮ A density dependent delayed predator-prey model with Beddington-DeAngelis type function response incorporating a prey refuge ⋮ Effect of fear on prey–predator dynamics: Exploring the role of prey refuge and additional food ⋮ Periodic solution of prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control ⋮ Prey refuge and morphological defense mechanisms as nonlinear triggers in an intraguild predation food web ⋮ Bifurcation of a discrete predator-prey model with increasing functional response and constant-yield prey harvesting ⋮ Study of a tri-trophic prey-dependent food chain model of interacting populations ⋮ Existence of complex patterns in the Beddington-DeAngelis predator-prey model ⋮ Dynamical analysis of a Beddington-DeAngelis interacting species system with prey harvesting ⋮ Biocontrol in an impulsive predator-prey model ⋮ Stability and dynamical analysis of a biological system ⋮ A simple geometrical condition for the existence of periodic solutions of planar periodic systems. applications to some biological models ⋮ Persistence and extinction of a stochastic modified Bazykin predator-prey system with Lévy jumps ⋮ Spatial patterns through Turing instability in a reaction-diffusion predator-prey model ⋮ A predator-prey model with generic birth and death rates for the predator and Beddington-DeAngelis functional response ⋮ Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect ⋮ Dynamical complexity of a prey-predator model with nonlinear predator harvesting ⋮ A diffusive predator–prey system with additional food and intra-specific competition among predators ⋮ Internal phosphorus recycling promotes rich and complex dynamics in an algae-phosphorus model: implications for eutrophication management ⋮ Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting ⋮ Impact of the fear effect in a prey-predator model incorporating a prey refuge ⋮ Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities ⋮ Chaotic dynamics in a simple predator-prey model with discrete delay ⋮ Asymptotic stability of one prey and two predators model with two functional responses ⋮ Stochastic modified Bazykin predator-prey model with Markovian switching ⋮ Predator-prey dynamical behavior and stability analysis with square root functional response ⋮ Stationary distributions of persistent ecological systems ⋮ Stability and Hopf Bifurcation in a Predator–Prey Model with the Cost of Anti-Predator Behaviors ⋮ Almost periodic dynamics of delayed prey–predator model with discontinuous harvesting policies and Hassell–Varley type functional response ⋮ Pattern formation by fractional cross-diffusion in a predator–prey model with Beddington–DeAngelis type functional response ⋮ Competition among predators and Allee effect on prey, their influence on a Gause-type predation model ⋮ Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge ⋮ The study of global stability of a periodic Beddington-DeAngelis and Tanner predator-prey model ⋮ Reaction–diffusion equations on graphs: stationary states and Lyapunov functions ⋮ STOCHASTIC POINCARÉ–BENDIXSON THEOREM AND ITS APPLICATION ON STOCHASTIC HOPF BIFURCATION ⋮ Pattern Formation in Intra-Specific Competition Food Chain System with Bifurcation and Chaos Control ⋮ INTERACTIONS OF TURING AND HOPF BIFURCATIONS IN AN ADDITIONAL FOOD PROVIDED DIFFUSIVE PREDATOR-PREY MODEL ⋮ Bifurcation analysis of a predator-prey model with strong Allee effect and Beddington-DeAngelis functional response ⋮ Using spatial games to model dynamic evolutionary systems
Cites Work
- Ratio-dependent predator-prey models of interacting populations
- Persistence in food webs - I. Lotka-Volterra food chains
- Homage to the red queen. I. Coevolution of predators and their victims
- Elements of applied bifurcation theory.
- Effects of spatial grouping on the functional response of predators
- Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
- Rich dynamics of a ratio-dependent one-prey two-predators model
- Parametric analysis of the ratio-dependent predator-prey model
- Complete mathematical analysis of predator-prey models with linear prey growth and Bedding\-ton-DeAngelis functional response
- Modelling Biological Populations in Space and Time
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
- Identifying predator-prey processes from time-series
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A detailed study of the Beddington-DeAngelis predator-prey model