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Pattern formation of a spatial predator–prey system
111
Citations
41
References
2012
Year
Predator-prey InteractionPattern FormationAnimal Behavior
The chemical basis of morphogenesis
Alan Turing
Philosophical transactions of the Royal Society of London. Series B, Biological sciences
1952
11.5K
The Problem of Pattern and Scale in Ecology: The Robert H. MacArthur Award Lecture
Simon A. Levin
Ecology
BiologyBiodiversityScaling AnalysisTheoretical EcologyBiogeography +11
1992
6.7K
STABILITY AND COMPLEXITY IN MODEL ECOSYSTEMS
Thomas W. Schoener
Evolution
Ecological NetworkSystem EcologyEcological Modelling
1974
2.2K
AUTO-07p: Continuation and bifurcation software for ordinary differential equations
Eusebius J. Doedel, Alan Champneys, Fabio Dercole, +7
2007
1.6K
Global Stability for a Class of Predator-Prey Systems
Sze‐Bi Hsu, Tzy-Wei Huang
SIAM Journal on Applied Mathematics
Dynamic EquilibriumPredator-prey InteractionSystem StabilityStable EquilibriumPredator-prey Systems +3
1995
506
Dynamics of biological invasions
Choice Reviews Online
Part 1Invasion BiologySpecie InteractionInvasive SpecieInvasive Species +8
1989
474
Synchronous dynamics and rates of extinction in spatially structured populations
Mikko Heino, Veijo Kaitala, Esa Ranta, +1
Proceedings of the Royal Society B Biological Sciences
1997
438
Chaos reduces species extinction by amplifying local population noise
Jeffrey C. Allen, William M. Schaffer, D. Rosko
Nature
Species ExtinctionChaos TheoryEvolutionary BiologyPopulation DynamicHigh-dimensional Chaos +1
1993
361
Chemical instability induced by a differential flow
Arkady B. Rovinsky, Michael Menzinger
Physical Review Letters
Deterministic Dynamical SystemEngineeringPhysicsFluid MechanicsInhibitor Kinetics +12
221
Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
B. I. Henry, Susan L. Wearne
Fractional DiffusionFractional-order SystemPhysicsDiscrete Dynamical SystemDiffusion Coefficient +5
2002
196
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