Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality

No abstract is available for this paper.

• Publication year

  2015

• Venue

  Chaos Solitons & Fractals

• Publication date

  2015-12-01

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1016/J.CHAOS.2015.10.001
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Turing-Hopf bifurcation in the reaction-diffusion equations and its applications

  2016cited by this paper
• Cross-diffusion induced spatiotemporal patterns in a predator–prey model with herd behavior

  2015cited by this paper
• Dynamics in a diffusive plankton system with delay and toxic substances effect

  2015cited by this paper
• Bifurcation analysis of a diffusive predator–prey system with nonconstant death rate and Holling III functional response☆

  2015cited by this paper
• Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality

  2015cited by this paper
• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior

  2015cited by this paper
• Spatio-temporal dynamics of a reaction-diffusion system for a predator–prey model with hyperbolic mortality

  2014cited by this paper
• Bifurcation analysis in a diffusive Segel–Jackson model

  2014cited by this paper
• Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point

  2014cited by this paper
• Stability and bifurcation in a ratio-dependent Holling-III system with diffusion and delay

  2014cited by this paper
• Cyclic dominance in evolutionary games: a review

  2014cited by this paper
• Bifurcation analysis of a diffusive ratio-dependent predator–prey model

  2014cited by this paper
• Collective behavior and evolutionary games - An introduction

  2013cited by this paper
• Hopf bifurcation and Turing instability in the reaction–diffusion Holling–Tanner predator–prey model

  2013cited by this paper
• Spatial dynamics in a predator-prey model with herd behavior.

  2013cited by this paper
• Traveling wave solutions of a diffusive SI model with strong Allee effect

  2013cited by this paper
• Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: Phase transitions to elementary strategies

  2013cited by this paper
• Stability and Hopf bifurcation in a diffusive predator-prey system incorporating a prey refuge.

  2013cited by this paper
• Defense mechanisms of empathetic players in the spatial ultimatum game.

  2012cited by this paper
• Predator–prey dynamics with square root functional responses

  2012cited by this paper
• Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey

  2011cited by this paper
• Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models

  2011cited by this paper
• Modeling herd behavior in population systems

  2011cited by this paper
• Turing instability in a coupled predator-preymodel with different Holling type functional responses

  2010cited by this paper
• Reward and cooperation in the spatial public goods game

  2010cited by this paper
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system ✩

  2009cited by this paper
• Turing instability for a ratio-dependent predator-prey model with diffusion

  2009cited by this paper
• Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs.

  2009cited by this paper
• Pattern formation of a predator-prey system with Ivlev-type functional response

  2008cited by this paper
• Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffusion.

  2008cited by this paper
• Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model

  2008cited by this paper
• Noise-guided evolution within cyclical interactions

  2007cited by this paper
• Statistical physics of social dynamics

  2007cited by this paper
• Cyclical interactions with alliance-specific heterogeneous invasion rates.

  2006cited by this paper
• Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response

  2006cited by this paper
• Plankton patchiness and its effect on larger-scale productivity

  2003cited by this paper
• Normal forms and Hopf bifurcation for partial differential equations with delays

  2000cited by this paper
• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation

  1994cited by this paper
• Bifurcations in a predator-prey model with memory and diffusion II: Turing bifurcation

  1994cited by this paper
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

  1989cited by this paper
• Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences is currently published by The Royal

  1951cited by this paper

• Complex Dynamics of a Memory‐Induced Stage‐Structured Diffusive System With Maturation Delay and Strong Allee Effect

  2025cites this paper
• Turing-Hopf Bifurcation in a Predator-Prey Model with Nonlocal Competition and General Group Defence

  2025cites this paper
• Spatiotemporal patterns in a predator–prey model with anti-predation behavior and fear effect

  2025cites this paper
• Hopf bifurcation analysis in a diffusive predator-prey model with repulsive predator-taxis and digestion delay

  2024cites this paper
• A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay

  2024cites this paper
• A study of a spatiotemporal delayed predator–prey model with prey harvesting: Constant and periodic diffusion

  2023cites this paper
• Boundedness, stability and pattern formation for a predator-prey model with Sigmoid functional response and prey-taxis

  2023cites this paper
• Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior

  2023cites this paper
• Analytical study of food-web system via turing patterns

  2022cites this paper
• Dynamics analysis and numerical implementations of a diffusive predator–prey model with herd behaviour and Allee effect

  2022cites this paper
• Pattern Dynamics of Prey–Predator Model with Swarm Behavior via Turing Instability and Amplitude Equation

  2021cites this paper
• Dynamics in a diffusive plankton system with time delay and Tissiet functional response

  2021cites this paper
• Predator-Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation

  2021cites this paper
• Rich dynamics in a stochastic predator-prey model with protection zone for the prey and multiplicative noise applied on both species

  2021cites this paper
• Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons

  2021cites this paper
• Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response

  2021cites this paper
• Bifurcation analysis of a special delayed predator-prey model with herd behavior and prey harvesting

  2021cites this paper
• Pattern formations of a delayed diffusive predator–prey model with predator harvesting and prey social behavior

  2021cites this paper
• Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting

  2020cites this paper
• Chemotaxis induced Turing bifurcation in a partly diffusive bacterial and viral diseases propagation model

  2020cites this paper
• Pattern dynamics in a diffusive predator-prey model with hunting cooperations

  2020cites this paper
• A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations

  2020cites this paper
• Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator-prey systems

  2020cites this paper
• Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition

  2020cites this paper
• Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping

  2020cites this paper
• Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect

  2020cites this paper
• Stochastic dynamical analysis in a hybrid bioeconomic system with telephone noise and distributed delay

  2020cites this paper
• An easy-to-implement parallel algorithm to simulate complex instabilities in three-dimensional (fractional) hyperbolic systems

  2020cites this paper
• Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis

  2020cites this paper
• Modeling and numerical simulations for a prey-predator model with interference among predators

  2020cites this paper
• Spatiotemporal Patterns in a Diffusive Predator-Prey Model with Prey Social Behavior

  2019cites this paper
• Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: Theoretical analysis and pattern formation

  2019cites this paper
• Multiple Bifurcation Analysis in a Diffusive Eco-Epidemiological Model with Time Delay

  2019cites this paper
• Numerical simulations of two components ecological models with sinc collocation method

  2019influential citation
• HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND PREY HARVESTING

  2019cites this paper
• Spatiotemporal Patterns Induced by Hopf Bifurcations in a Homogeneous Diffusive Predator-Prey System

  2019cites this paper
• An efficient and fully explicit model to simulate delayed activator–inhibitor systems with anomalous diffusion

  2019cites this paper
• Hopf Bifurcation of Cross Diffusion Predator-Prey Model with Herd Behavior and Delay

  2019cites this paper
• EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY

  2019cites this paper
• Dynamics of an eco-epidemiological system with disease in competitive prey species

  2019cites this paper
• Impact of prey herd shape on the predator-prey interaction

  2019cites this paper
• Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis

  2019cites this paper
• A bounded numerical solver for a fractional FitzHugh–Nagumo equation and its high-performance implementation

  2019cites this paper
• Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey

  2019cites this paper
• STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS

  2018cites this paper
• Effect of cross-diffusion on the stationary problem of a predator-prey system with a protection zone

  2018cites this paper
• Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey

  2018cites this paper
• Herd behavior in a predator–prey model with spatial diffusion: bifurcation analysis and Turing instability

  2018cites this paper
• Stationary distribution and extinction of a stochastic predator-prey model with herd behavior

  2018cites this paper
• Analysis on existence of bifurcation solutions for a predator-prey model with herd behavior

  2018cites this paper
• Predator-Prey Model with Prey Group Defense and Non-linear Predator Harvesting

  2018cites this paper
• Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis

  2017cites this paper
• Delay induced subcritical Hopf bifurcation in a diffusive predator-prey model with herd behavior and hyperbolic mortality

  2017influential citation
• Dynamics of a stochastic Holling type II predator–prey model with hyperbolic mortality

  2017cites this paper
• Bifurcation analysis of a diffusive predator–prey system with Crowley–Martin functional response and delay

  2017cites this paper
• Herd behavior in a predator–prey model with spatial diffusion: bifurcation analysis and Turing instability

  2017cites this paper
• The problem of the nonlinear diffusive predator–prey model with the same biotic resource

  2017cites this paper
• Turing Analysis of a Mathematical Model for Interaction between Tumor Cell and Its Inhibitor

  2017influential citation
• A delayed-diffusive predator-prey model with a ratio-dependent functional response

  2017cites this paper
• Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

  2016cites this paper
• Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

  2016cites this paper
• Global dynamics of a predator-prey model with defense mechanism for prey

  2016cites this paper
• Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity

  2016cites this paper
• Dynamics of a stochastic Holling type II predator–prey model with hyperbolic mortality

  2016cites this paper