A density dependent delayed predator-prey model with Beddington-DeAngelis type function response incorporating a prey refuge

DOI10.1016/j.cnsns.2014.08.018zbMath1329.92112OpenAlexW2012393132WikidataQ115578363 ScholiaQ115578363MaRDI QIDQ907620

Manoj Thakur, Jai Prakash Tripathi, Syed Abbas

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.08.018

zbMATH Keywords

limit cycle functional response Hopf bifurcation Lyapunov functional prey reserve

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (43)

Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays ⋮ A diffusive predator-prey system with prey refuge and gestation delay ⋮ Dynamical complexity of a delay-induced eco-epidemic model with Beddington-DeAngelis incidence rate ⋮ Global bifurcation for a reaction-diffusion predator-prey model with Holling-II functional response and prey-taxis ⋮ Bifurcation of Nontrivial Periodic Solutions for a Food Chain Beddington–DeAngelis Interference Model with Impulsive Effect ⋮ Stability analysis of a fractional-order diffused prey-predator model with prey refuges ⋮ Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls ⋮ Analysis of a delayed predator-prey system with harvesting ⋮ Almost periodic solution and global attractivity for a density dependent predator-prey system with mutual interference and Crowley-Martin response function ⋮ Global dynamics and parameter identifiability in a predator-prey interaction model ⋮ A Michaelis–Menten Predator–Prey Model with Strong Allee Effect and Disease in Prey Incorporating Prey Refuge ⋮ Bifurcation analysis of a diffusive predator-prey system with Crowley-Martin functional response and delay ⋮ Impact of fear in a delay-induced predator-prey system with intraspecific competition within predator species ⋮ Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge ⋮ A Beddington-DeAngelis type one-predator two-prey competitive system with help ⋮ Enhancing population persistence by a protection zone in a reaction-diffusion model with strong Allee effect ⋮ Global stability of an SI epidemic model with feedback controls in a patchy environment ⋮ Intraspecific competition of predator for prey with variable rates in protected areas ⋮ Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect ⋮ Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition ⋮ Understanding cannibalism dynamics in predator-prey interactions: bifurcations and chaos control strategies ⋮ Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response ⋮ Dynamic analysis of a diffusive predator-prey model with hunting cooperation functional response and prey-taxis ⋮ Exploring Complex Dynamics of Spatial Predator–Prey System: Role of Predator Interference and Additional Food ⋮ Optimal harvesting for a stochastic predator-prey model with S-type distributed time delays ⋮ A modified Leslie-Gower predator-prey interaction model and parameter identifiability ⋮ Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge ⋮ Dynamical analysis of a predator-prey interaction model with time delay and prey refuge ⋮ HOPF BIFURCATION ANALYSIS FOR A DELAYED PREDATOR-PREY SYSTEM WITH A PREY REFUGE AND SELECTIVE HARVESTING ⋮ Dynamic behavior analysis of phytoplankton-zooplankton system with cell size and time delay ⋮ Dynamical behavior in a hybrid stochastic triple delayed prey predator bioeconomic system with Lévy jumps ⋮ Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales ⋮ Stochastic modified Bazykin predator-prey model with Markovian switching ⋮ Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response ⋮ Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model ⋮ Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator-prey systems ⋮ Modeling the Effect of Fear in a Prey–Predator System with Prey Refuge and Gestation Delay ⋮ PERMANENCE AND GLOBAL STABILITY ANALYSIS OF A DELAYED THREE SPECIES PREDATOR-PREY MODEL WITH COOPERATION AMONG PREYS ⋮ Dynamical analysis and effects of law enforcement in a social interaction model ⋮ Unnamed Item ⋮ Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations ⋮ Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays ⋮ Dynamics of Fractional Holling Type-II Predator-Prey Model with Prey Refuge and Additional Food to Predator

Cites Work

This page was built for publication: A density dependent delayed predator-prey model with Beddington-DeAngelis type function response incorporating a prey refuge