Pattern dynamics of a predator–prey system with cross-diffusion, Allee effect and generalized Holling IV functional response

Qualitative study of cross-diffusion and pattern formation in Leslie–Gower predator–prey model with fear and Allee effects

(2022) Debjit Pal et al.   CHAOS SOLITONS & FRACTALS

Steady states and pattern formation of the density-suppressed motility model

(2021) Zhi-An Wang et al.   IMA JOURNAL OF APPLIED MATHEMATICS

A predator-prey system with generalized Holling type IV functional response and Allee effects in prey

(2021) Alessandro Arsie et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics of Holling-type II prey–predator system with a protection zone for prey

(2020) Aung Zaw Myint et al.   APPLICABLE ANALYSIS

Stability and cross-diffusion-driven instability in a diffusive predator–prey system with hunting cooperation functional response

(2020) Danxia Song et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Pattern formation in a diffusive predator–prey system with cross-diffusion effects

(2020) Xiaoling Li et al.   NONLINEAR DYNAMICS

Spatial Patterns of a Predator–Prey Model with Beddington–DeAngelis Functional Response

(2019) Yu-Xia Wang et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Patterns and dynamics in the diffusive model of a nutrient–microorganism system in the sediment

(2019) Qian Cao et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Pattern dynamics in a diffusive predator-prey model with hunting cooperations

(2019) Shuixian Yan et al.   CHAOS SOLITONS & FRACTALS

Spatial dynamics of a predator-prey system with cross diffusion

(2018) Caiyun Wang et al.   CHAOS SOLITONS & FRACTALS

Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion

(2018) Walid Abid et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Bifurcation of positive solutions to scalar reaction–diffusion equations with nonlinear boundary condition

(2018) Ping Liu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Positive steady states for a nonlinear diffusion Beddington-DeAngelis model

(2018) Jia-Fang Zhang et al.   JOURNAL OF MATHEMATICAL PHYSICS

Steady state in a cross-diffusion predator–prey model with the Beddington–DeAngelis functional response

(2018) Qiong Meng et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Effects of the self- and cross-diffusion on positive steady states for a generalized predator–prey system

(2016) Yunfeng Jia et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

The influence of generalist predators in spatially extended predator–prey systems

(2015) Subhendu Chakraborty   Ecological Complexity

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

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

Bifurcations in a predator–prey system of Leslie type with generalized Holling type III functional response

(2014) Jicai Huang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bifurcation from a degenerate simple eigenvalue

(2013) Ping Liu et al.   JOURNAL OF FUNCTIONAL ANALYSIS

A derivation of Holling's type I, II and III functional responses in predator–prey systems

(2013) J.H.P. Dawes et al.   JOURNAL OF THEORETICAL BIOLOGY

Multiparametric bifurcations of an epidemiological model with strong Allee effect

(2012) Linlin Cai et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Stationary patterns of the stage-structured predator–prey model with diffusion and cross-diffusion

(2011) Bo Li et al.   MATHEMATICAL AND COMPUTER MODELLING

Complex patterns in a predator–prey model with self and cross-diffusion

(2010) Weiming Wang et al.   Communications in Nonlinear Science and Numerical Simulation

The evidence for Allee effects

(2009) Andrew M. Kramer et al.   POPULATION ECOLOGY

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

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