Related references
Note: Only part of the references are listed.The effects of obstacle size on periodic travelling waves in oscillatory reaction-diffusion equations
Matthew J. Smith et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2008)
The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems
Matthew J. Smith et al.
PHYSICA D-NONLINEAR PHENOMENA (2007)
Chaotic oscillations and cycles in multi-trophic ecological systems
Lewl Stone et al.
JOURNAL OF THEORETICAL BIOLOGY (2007)
Topological horseshoes of traveling waves for a fast-slow predator-prey system
Marcio Gameiro et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2007)
Instabilities of wave trains and turing patterns in large domains
Jens D. M. Rademacher et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2007)
Population cycles of lemmings near Barrow, Alaska: a historical review
Frank A. Pitelka et al.
ACTA THERIOLOGICA (2007)
The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems
Jens D. M. Rademacher et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2007)
Periodic traveling waves for diffusion equations with time delayed and non-local responding reaction
Dawn Duehring et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2007)
Computing absolute and essential spectra using continuation
Jens D. M. Rademacher et al.
PHYSICA D-NONLINEAR PHENOMENA (2007)
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
Marcus R. Garvie
BULLETIN OF MATHEMATICAL BIOLOGY (2007)
Waves and synchrony in Epirrita autumnata/Operophtera brumata outbreaks.: II.: Sunspot activity cannot explain cyclic outbreaks
A. C. Nilssen et al.
JOURNAL OF ANIMAL ECOLOGY (2007)
Waves and synchrony in Epirrita autumnata/Operophtera brumata outbreaks.: I.: Lagged synchrony:: regionally, locally and among species
O. Tenow et al.
JOURNAL OF ANIMAL ECOLOGY (2007)
Movement patterns of a specialist predator, the weasel Mustela nivalis exploiting asynchronous cyclic field vole Microtus agrestis populations
Miriam J. Brandt et al.
ACTA THERIOLOGICA (2007)
Coherent structures generated by inhomogeneities in oscillatory media
Richard Kollar et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2007)
Multiple Allee effects and population management
Ludek Berec et al.
TRENDS IN ECOLOGY & EVOLUTION (2007)
Geographically partitioned spatial synchrony among cyclic moth populations
Tero Klemola et al.
OIKOS (2006)
Landscape mosaic induces traveling waves of insect outbreaks
DM Johnson et al.
OECOLOGIA (2006)
Changes over time in the spatiotemporal dynamics of cyclic populations of field voles (Microtus agrestis L.)
SM Bierman et al.
AMERICAN NATURALIST (2006)
Explaining bank vole cycles in southern Norway 1980-2004 from bilberry reports 1932-1977 and climate
V Selas
OECOLOGIA (2006)
Testing the role of parasites in driving the cyclic population dynamics of a gamebird
SM Redpath et al.
ECOLOGY LETTERS (2006)
Vole population cycles in northern and southern Europe: Is there a need for different explanations for single pattern?
X Lambin et al.
JOURNAL OF ANIMAL ECOLOGY (2006)
From trigger to phase waves and back again
G Bordiougov et al.
PHYSICA D-NONLINEAR PHENOMENA (2006)
Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
A Morozov et al.
JOURNAL OF THEORETICAL BIOLOGY (2006)
UV-B-induced plant stress as a possible cause of ten-year hare cycles
V Selas
POPULATION ECOLOGY (2006)
Are bark beetle outbreaks less synchronous than forest Lepidoptera outbreaks?
B Okland et al.
OECOLOGIA (2005)
Invasion waves in populations with excitable dynamics
J Brindley et al.
BIOLOGICAL INVASIONS (2005)
Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control
SV Petrovskii et al.
BIOLOGICAL INVASIONS (2005)
Socially induced red grouse population cycles need abrupt transitions between tolerance and aggression
J Matthiopoulos et al.
ECOLOGY (2005)
Moran effect on nonlinear population processes
T Royama
ECOLOGICAL MONOGRAPHS (2005)
Experimentally increased aggressiveness reduces population kin structure and subsequent recruitment in red grouse Lagopus lagopus scoticus
F Mougeot et al.
JOURNAL OF ANIMAL ECOLOGY (2005)
Detecting the causes of population cycles by analysis of R-functions:: the spruce needle-miner, Epinotia tedella, and its parasitoids in Danish spruce plantations
M Münster-Swendsen et al.
OIKOS (2005)
Parasites and climate synchronize red grouse populations
IM Cattadori et al.
NATURE (2005)
The effect of climatic forcing on population synchrony and genetic structuring of the Canadian lynx
NC Stenseth et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2004)
Landscape geometry and travelling waves in the larch budmoth
DM Johnson et al.
ECOLOGY LETTERS (2004)
Can sunspot activity and ultraviolet-B radiation explain cyclic outbreaks of forest moth pest species?
V Selås et al.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2004)
Pursuit-evasion predator-prey waves in two spatial dimensions
VN Biktashev et al.
CHAOS (2004)
Bifurcations and chaos in a predator-prey system with the Allee effect
A Morozov et al.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2004)
Oscillatory reaction-diffusion equations with temporally varying parameters
SD Webb et al.
MATHEMATICAL AND COMPUTER MODELLING (2004)
Spatial synchrony in population dynamics
A Liebhold et al.
ANNUAL REVIEW OF ECOLOGY EVOLUTION AND SYSTEMATICS (2004)
Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example
MA Tsyganov et al.
PHYSICA D-NONLINEAR PHENOMENA (2004)
Dynamics of a strongly nonlocal reaction-diffusion population model
J Billingham
NONLINEARITY (2004)
The effects of the size and shape of landscape features on the formation of traveling waves in cyclic populations
JA Sherratt et al.
AMERICAN NATURALIST (2003)
Testing the specialist predator hypothesis for vole cycles
X Lambin et al.
TRENDS IN ECOLOGY & EVOLUTION (2003)
Ecological and genetic spatial structuring in the Canadian lynx
EK Rueness et al.
NATURE (2003)
Population cycles of small rodents are caused by specialist predators: or are they?
MK Oli
TRENDS IN ECOLOGY & EVOLUTION (2003)
Spatio-temporal dynamics of the grey-sided vole in Hokkaido: identifying coupling using state-based Markov-chain modelling
DT Haydon et al.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2003)
Existence of traveling wave solutions in a diffusive predator-prey model
JH Huang et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2003)
Territorial behaviour and population dynamics in red grouse Lagopus lagopus scoticus. II. Population models
J Matthiopoulos et al.
JOURNAL OF ANIMAL ECOLOGY (2003)
Periodic travelling wave selection by Dirichlet boundary conditions in oscillatory reaction-diffusion systems
JA Sherratt
SIAM JOURNAL ON APPLIED MATHEMATICS (2003)
Waves of larch budmoth outbreaks in the European Alps
ON Bjornstad et al.
SCIENCE (2002)
The impact of weasel predation on cyclic field-vole survival: the specialist predator hypothesis contradicted
IM Graham et al.
JOURNAL OF ANIMAL ECOLOGY (2002)
Interaction between seasonal density-dependence structures and length of the seasons explain the geographical structure of the dynamics of voles in Hokkaido: an example of seasonal forcing
NC Stenseth et al.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2002)
Global patterns of environmental synchrony and the Moran effect
WD Koenig
ECOGRAPHY (2002)
Allee effect makes possible patchy invasion in a predator-prey system
SV Petrovskii et al.
ECOLOGY LETTERS (2002)
Generation of periodic waves by landscape features in cyclic predator-prey systems
JA Sherratt et al.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2002)
DNA reveals high dispersal synchronizing the population dynamics of Canada lynx
MK Schwartz et al.
NATURE (2002)
Travelling fronts for the KPP equation with spatio-temporal delay
P Ashwin et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2002)
Population cycles of autumnal moth, Epirrita autumnata, in relation to birch mast seeding
V Selås et al.
OECOLOGIA (2001)
Life-history traits of voles in a fluctuating population respond to the immediate environment
T Ergon et al.
NATURE (2001)
Wavelengths distribution of chaotic travelling waves in some cellular automata
M Courbage et al.
PHYSICA D (2001)
Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics
SV Petrovskii et al.
THEORETICAL POPULATION BIOLOGY (2001)
Generic instability of spatial unfoldings of almost homoclinic periodic orbits
E Risler
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2001)
Periodic travelling waves in cyclic predator-prey systems
JA Sherratt
ECOLOGY LETTERS (2001)
Scale invariant spatio-temporal patterns of field vole density
JL Mackinnon et al.
JOURNAL OF ANIMAL ECOLOGY (2001)
Absolute versus convective instability of spiral waves
B Sandstede et al.
PHYSICAL REVIEW E (2000)
Spatial synchronization of vole population dynamics by predatory birds
RA Ims et al.
NATURE (2000)
Spatial noise stabilizes periodic wave patterns in oscillatory systems on finite domains
AL Kay et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2000)
Spatial unfolding of elementary bifurcations
P Coullet et al.
JOURNAL OF STATISTICAL PHYSICS (2000)
Complex chemical reactions - A review
SK Scott et al.
CHEMICAL ENGINEERING SCIENCE (2000)
Cyclic dynamics in field vole populations and generalist predation
X Lambin et al.
JOURNAL OF ANIMAL ECOLOGY (2000)
Use of coupled oscillator models to understand synchrony and travelling waves in populations of the field vole Microtus agrestis in northern England
TN Sherratt et al.
JOURNAL OF APPLIED ECOLOGY (2000)