Stability, Steady-State Bifurcations, and Turing Patterns in a Predator-Prey Model with Herd Behavior and Prey-taxis

Turing–Hopf bifurcation in the reaction–diffusion equations and its applications

(2016) Yongli Song et al.   Communications in Nonlinear Science and Numerical Simulation

Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

(2016) Xiaosong Tang et al.   NONLINEAR DYNAMICS

Global boundedness of solutions in a reaction–diffusion system of predator–prey model with prey-taxis

(2015) Xiao He et al.   APPLIED MATHEMATICS LETTERS

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

(2015) Xiaosong Tang et al.   CHAOS SOLITONS & FRACTALS

Cross-diffusion induced spatiotemporal patterns in a predator–prey model with herd behavior

(2015) Xiaosong Tang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Pattern formation and spatiotemporal chaos in a reaction–diffusion predator–prey system

(2015) Guangping Hu et al.   NONLINEAR DYNAMICS

Spatiotemporal dynamics in a diffusive ratio-dependent predator–prey model near a Hopf–Turing bifurcation point

(2014) Yongli Song et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Cyclic dominance in evolutionary games: a review

(2014) A. Szolnoki et al.   Journal of the Royal Society Interface

Global bifurcation of solutions for a predator-prey model with prey-taxis

(2014) Xiaoli Wang et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Bifurcation analysis of a diffusive ratio-dependent predator–prey model

(2014) Yongli Song et al.   NONLINEAR DYNAMICS

Collective behavior and evolutionary games – An introduction

(2013) Matjaž Perc et al.   CHAOS SOLITONS & FRACTALS

Pattern formation of the attraction-repulsion Keller-Segel system

(2013) Zhi-An Wang et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Steady states of a predator–prey model with prey-taxis

(2013) Chenglin Li et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Predator–prey dynamics with square root functional responses

(2012) Peter A. Braza   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Modeling herd behavior in population systems

(2011) Valerio Ajraldi et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Turing instability in a coupled predator-prey model with different Holling type functional responses

(2011) Zhifu Xie   Discrete and Continuous Dynamical Systems-Series S

Reward and cooperation in the spatial public goods game

(2010) A. Szolnoki et al.   EPL

Pattern formation of a predator–prey system with Ivlev-type functional response

(2009) Weiming Wang et al.   ECOLOGICAL MODELLING

Global existence of classical solutions to a predator–prey model with nonlinear prey-taxis

(2009) Youshan Tao   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Phase diagrams for three-strategy evolutionary prisoner’s dilemma games on regular graphs

(2009) Attila Szolnoki et al.   PHYSICAL REVIEW E

Statistical physics of social dynamics

(2009) Claudio Castellano et al.   REVIEWS OF MODERN PHYSICS

Pattern formation in prey-taxis systems

(2009) J. M. Lee et al.   Journal of Biological Dynamics

Continuous Traveling Waves for Prey-Taxis

(2008) J. M. Lee et al.   BULLETIN OF MATHEMATICAL BIOLOGY

On global bifurcation for quasilinear elliptic systems on bounded domains

(2008) Junping Shi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system

(2008) Fengqi Yi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Stability and Hopf bifurcation for a prey–predator model with prey-stage structure and diffusion

(2007) Mingxin Wang   MATHEMATICAL BIOSCIENCES

A reaction–diffusion system modeling predator–prey with prey-taxis

(2007) Bedr’Eddine Ainseba et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS