List of works - Sergei Petrovskii

A diffusive SI model with Allee effect and application to FIV.

scientific article published on 4 January 2006

A random walk description of individual animal movement accounting for periods of rest

scientific article

An exact solution of a diffusive predator–prey system

scholarly article by Sergei Petrovskii et al published 15 March 2005 in Proceedings of the Royal Society A

An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect

scientific article published in November 2003

Are time delays always destabilizing? Revisiting the role of time delays and the Allee effect

scientific article published in 2014

Bifurcations and chaos in a predator-prey system with the Allee effect

scholarly article by Andrew Morozov et al published 7 July 2004 in Proceedings of the Royal Society B

Biodiversity measures revisited

scientific article published in 2006

Catching ghosts with a coarse net: use and abuse of spatial sampling data in detecting synchronization

scientific article

Challenges of ecological monitoring: estimating population abundance from sparse trap counts

scientific article published on 10 August 2011

Collective dynamics: when one plus one does not make two ⬇️

scientific article published on May 5, 2011

Comment on "Levy Walks Evolve Through Interaction Between Movement and Environmental Complexity"

scientific article published in Science

Computational ecology as an emerging science ⬇️

scientific article published on January 5, 2012

Consequences of the Allee effect and intraspecific competition on population persistence under adverse environmental conditions

scientific article published on 13 November 2007

Correction to: Managing biological invasions: the cost of inaction

scientific article published in 2022

Delay driven spatiotemporal chaos in single species population dynamics models

scientific article published on 3 May 2016

Dispersal in a statistically structured population: fat tails revisited

scientific article published on February 2009

Editorial

Effect of Slow–Fast Time Scale on Transient Dynamics in a Realistic Prey-Predator System

scientific article published on 24 February 2022

Effect of complex landscape geometry on the invasive species spread: Invasion with stepping stones

scientific article published on 15 December 2018

Effect of density-dependent individual movement on emerging spatial population distribution: Brownian motion vs Levy flights

scientific article published on 18 December 2018

Estimating insect population density from trap counts

article

Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem

scientific article

Feeding on multiple sources: towards a universal parameterization of the functional response of a generalist predator allowing for switching

scientific article

Gypsy moth invasion in North America: A simulation study of the spatial pattern and the rate of spread

article by Masha Jankovic & Sergei Petrovskii published June 2013 in Ecological Complexity

How animals move along? Exactly solvable model of superdiffusive spread resulting from animal's decision making

scientific article published on 9 December 2015

Increased coupling between subpopulations in a spatially structured environment can lead to population outbreaks

scientific article published in October 2001

Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect

scientific article published on 24 February 2016

Managing biological invasions: the cost of inaction

scientific article published in 2022

Mathematical Modelling of Plankton-Oxygen Dynamics Under the Climate Change.

scientific article

Mathematical Modelling of Spatiotemporal Dynamics of Oxygen in a Plankton System

article

Multi-scale properties of random walk models of animal movement: lessons from statistical inference

scientific article published in 2012

Multiscale approach to pest insect monitoring: random walks, pattern formation, synchronization, and networks

scientific article published on 15 February 2014

Multiscale ecology of agroecosystems is an emerging research field that can provide a stronger theoretical background for the integrated pest management. Reply to comments on "Multiscale approach to pest insect monitoring: random walks, pattern form

scientific article published on 21 July 2014

Noise can prevent onset of chaos in spatiotemporal population dynamics

article

Numerical study of plankton–fish dynamics in a spatially structured and noisy environment

article

On a possible origin of the fat-tailed dispersal in population dynamics

article

On time scale invariance of random walks in confined space

scientific article

Patchy Invasion of Stage-Structured Alien Species with Short-Distance and Long-Distance Dispersal

scientific article published on 5 October 2015

Patchy, not patchy, or how much patchy? Classification of spatial patterns appearing in a model of biological invasion

scientific article published on 08 January 2018

Pattern formation in a space- and time-discrete predator–prey system with a strong Allee effect

scholarly article by Luiz Alberto Díaz Rodrigues et al published 21 September 2011 in Theoretical Ecology

Pattern formation in models of plankton dynamics. A synthesis

article

Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space- and time-discrete predator-prey system

scientific article published on 23 October 2010

Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems

scientific article published in May 2003

Reaction-diffusion waves in biology

scientific article published on 13 October 2009

Regimes of biological invasion in a predator-prey system with the Allee effect

scientific article published in May 2005

Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system

scholarly article by Malay Banerjee & Sergei Petrovskii published 19 March 2010 in Theoretical Ecology

Some analytical and numerical approaches to understanding trap counts resulting from pest insect immigration

scientific article

Some exact solutions of a generalized Fisher equation related to the problem of biological invasion

scientific article published in August 2001

Spatial ecology across scales ⬇️

scientific article published on 10 November 2010

Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics

Spatiotemporal behavior of a prey–predator system with a group defense for prey

scholarly article by Ezio Venturino & Sergei Petrovskii published June 2013 in Ecological Complexity

Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong Allee effect

scholarly article by Diomar Cristina Mistro et al published February 2012 in Ecological Complexity

Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect

scientific article published on 6 July 2005

Stability of a planetary climate system with the biosphere species competing for resources

scientific article published in 2021

Synchronized dynamics of Tipula paludosa metapopulation in a southwestern Scotland agroecosystem: linking pattern to process

scientific article published on 15 July 2013

Time Dependent Diffusion as a Mean Field Counterpart of Lévy Type Random Walk

Towards resolving the paradox of enrichment: the impact of zooplankton vertical migrations on plankton systems stability

scientific article published on 31 May 2007

Transient phenomena in ecology

scientific article

Transition to spatiotemporal chaos can resolve the paradox of enrichment

article

Using a multi‐lens framework for landscape decisions

scientific article published in 2023

Variation in individual walking behavior creates the impression of a Levy flight

scientific article published on 9 May 2011

Wave of chaos: new mechanism of pattern formation in spatio-temporal population dynamics

scientific article published in March 2001

List of works by Sergei Petrovskii

A diffusive SI model with Allee effect and application to FIV.

A random walk description of individual animal movement accounting for periods of rest

An exact solution of a diffusive predator–prey system

An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect

Are time delays always destabilizing? Revisiting the role of time delays and the Allee effect

Bifurcations and chaos in a predator-prey system with the Allee effect

Biodiversity measures revisited

Catching ghosts with a coarse net: use and abuse of spatial sampling data in detecting synchronization

Challenges of ecological monitoring: estimating population abundance from sparse trap counts

Collective dynamics: when one plus one does not make two ⬇️

Comment on "Levy Walks Evolve Through Interaction Between Movement and Environmental Complexity"

Computational ecology as an emerging science ⬇️

Consequences of the Allee effect and intraspecific competition on population persistence under adverse environmental conditions

Correction to: Managing biological invasions: the cost of inaction

Delay driven spatiotemporal chaos in single species population dynamics models

Dispersal in a statistically structured population: fat tails revisited

Editorial

Effect of Slow–Fast Time Scale on Transient Dynamics in a Realistic Prey-Predator System

Effect of complex landscape geometry on the invasive species spread: Invasion with stepping stones

Effect of density-dependent individual movement on emerging spatial population distribution: Brownian motion vs Levy flights

Estimating insect population density from trap counts

Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem

Feeding on multiple sources: towards a universal parameterization of the functional response of a generalist predator allowing for switching

Gypsy moth invasion in North America: A simulation study of the spatial pattern and the rate of spread

How animals move along? Exactly solvable model of superdiffusive spread resulting from animal's decision making

Increased coupling between subpopulations in a spatially structured environment can lead to population outbreaks

Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect

Managing biological invasions: the cost of inaction

Mathematical Modelling of Plankton-Oxygen Dynamics Under the Climate Change.

Mathematical Modelling of Spatiotemporal Dynamics of Oxygen in a Plankton System

Multi-scale properties of random walk models of animal movement: lessons from statistical inference

Multiscale approach to pest insect monitoring: random walks, pattern formation, synchronization, and networks

Multiscale ecology of agroecosystems is an emerging research field that can provide a stronger theoretical background for the integrated pest management. Reply to comments on "Multiscale approach to pest insect monitoring: random walks, pattern form

Noise can prevent onset of chaos in spatiotemporal population dynamics

Numerical study of plankton–fish dynamics in a spatially structured and noisy environment

On a possible origin of the fat-tailed dispersal in population dynamics

On time scale invariance of random walks in confined space

Patchy Invasion of Stage-Structured Alien Species with Short-Distance and Long-Distance Dispersal

Patchy, not patchy, or how much patchy? Classification of spatial patterns appearing in a model of biological invasion

Pattern formation in a space- and time-discrete predator–prey system with a strong Allee effect

Pattern formation in models of plankton dynamics. A synthesis

Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space- and time-discrete predator-prey system

Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems

Reaction-diffusion waves in biology

Regimes of biological invasion in a predator-prey system with the Allee effect

Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system

Some analytical and numerical approaches to understanding trap counts resulting from pest insect immigration

Some exact solutions of a generalized Fisher equation related to the problem of biological invasion

Spatial ecology across scales ⬇️

Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics

Spatiotemporal behavior of a prey–predator system with a group defense for prey

Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong Allee effect

Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect

Stability of a planetary climate system with the biosphere species competing for resources

Synchronized dynamics of Tipula paludosa metapopulation in a southwestern Scotland agroecosystem: linking pattern to process

Time Dependent Diffusion as a Mean Field Counterpart of Lévy Type Random Walk

Towards resolving the paradox of enrichment: the impact of zooplankton vertical migrations on plankton systems stability

Transient phenomena in ecology

Transition to spatiotemporal chaos can resolve the paradox of enrichment

Using a multi‐lens framework for landscape decisions

Variation in individual walking behavior creates the impression of a Levy flight

Wave of chaos: new mechanism of pattern formation in spatio-temporal population dynamics