Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction

A fast–slow model of banded vegetation pattern formation in drylands

(2020) Punit Gandhi et al.   PHYSICA D-NONLINEAR PHENOMENA

On a nonlocal system for vegetation in drylands

(2018) Matthieu Alfaro et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal

(2018) Lukas Eigentler et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Vegetation pattern formation in seminal systems due to internal competition reaction between plants

(2018) Xiaoli Wang et al.   JOURNAL OF THEORETICAL BIOLOGY

A topographic mechanism for arcing of dryland vegetation bands

(2018) Punit Gandhi et al.   Journal of the Royal Society Interface

Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model

(2017) Lotte Sewalt et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Assessing the robustness of spatial pattern sequences in a dryland vegetation model

(2016) Karna Gowda et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of Cima chemical reactions

(2013) Jiayin Jin et al.   ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments IV: Slowly Moving Patterns and Their Stability

(2013) Jonathan A. Sherratt   SIAM JOURNAL ON APPLIED MATHEMATICS

Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments V: The Transition from Patterns to Desert

(2013) Jonathan A. Sherratt   SIAM JOURNAL ON APPLIED MATHEMATICS

Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions

(2012) Yasuhito Miyamoto et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Rise and Fall of Periodic Patterns for a Generalized Klausmeier–Gray–Scott Model

(2012) Sjors van der Stelt et al.   JOURNAL OF NONLINEAR SCIENCE

Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments III: The transition between homoclinic solutions

(2012) Jonathan A. Sherratt   PHYSICA D-NONLINEAR PHENOMENA

A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an Interaction–Diffusion Plant-Surface Water Model System in an Arid Flat Environment

(2011) Bonni J. Kealy et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Global branch from the second eigenvalue for a semilinear Neumann problem in a ball

(2010) Yasuhito Miyamoto   JOURNAL OF DIFFERENTIAL EQUATIONS

Pattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I

(2010) Jonathan A Sherratt   NONLINEARITY

Non-existence of non-constant positive steady states of two Holling type-II predator–prey systems: Strong interaction case

(2009) Rui Peng et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

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

Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk

(2008) Yasuhito Miyamoto   JOURNAL OF FUNCTIONAL ANALYSIS