Turing Patterns of a Lotka–Volterra Competitive System with Nonlocal Delay

Spatio-temporal patterns in a diffusive model with non-local delay effect

(2017) Shangjiang Guo   IMA JOURNAL OF APPLIED MATHEMATICS

Bifurcation Phenomena in a Lotka–Volterra Model with Cross-Diffusion and Delay Effect

(2017) Shuling Yan et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Hopf bifurcation in a reaction–diffusion equation with distributed delay and Dirichlet boundary condition

(2017) Qingyan Shi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Patterns in a nonlocal time-delayed reaction–diffusion equation

(2017) Shangjiang Guo   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Traveling wave solutions in a nonlocal reaction-diffusion population model

(2016) Zhi-Cheng Wang et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Hopf bifurcation in a diffusive Lotka–Volterra type system with nonlocal delay effect

(2016) Shangjiang Guo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics of a diffusive predator–prey system with a nonlinear growth rate for the predator

(2016) Shanshan Chen et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Traveling waves for the nonlocal diffusive single species model with Allee effect

(2016) Bang-Sheng Han et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference

(2015) Hong-Bo Shi et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Stability and bifurcation analysis of a reaction–diffusion equation with spatio-temporal delay

(2015) Wenjie Zuo et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

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

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

Analysis of spatiotemporal patterns in a single species reaction–diffusion model with spatiotemporal delay

(2015) Gaoxiang Yang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Pattern dynamics of a predator–prey reaction–diffusion model with spatiotemporal delay

(2015) Jian Xu et al.   NONLINEAR DYNAMICS

Spatiotemporal dynamics of reaction–diffusion models of interacting populations

(2014) Lakshmi Narayan Guin et al.   APPLIED MATHEMATICAL MODELLING

On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds

(2014) François Hamel et al.   NONLINEARITY

Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait

(2013) Matthieu Alfaro et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Monotone traveling waves for delayed Lotka-Volterra competition systems

(2012) Jian Fang et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Recent developments on wave propagation in 2-species competition systems

(2012) Jong-Shenq Guo et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Spatiotemporal patterns in a reaction–diffusion model with the Degn–Harrison reaction scheme

(2012) Rui Peng et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation

(2011) Grégoire Nadin et al.   COMPTES RENDUS MATHEMATIQUE

Pattern dynamics of a spatial predator–prey model with noise

(2011) Li Li et al.   NONLINEAR DYNAMICS

Monotone wavefronts of the nonlocal Fisher–KPP equation

(2011) Jian Fang et al.   NONLINEARITY

Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model

(2010) Fengqi Yi et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Multiple bifurcations in a delayed predator–prey diffusion system with a functional response

(2009) Jia-Fang Zhang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

The non-local Fisher–KPP equation: travelling waves and steady states

(2009) Henri Berestycki et al.   NONLINEARITY

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

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

Direction of Hopf bifurcation in a delayed Lotka–Volterra competition diffusion system

(2008) Xiang-Ping Yan et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Bistable wavefronts in a diffusive and competitive Lotka–Volterra type system with nonlocal delays

(2007) Guo Lin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS