32 citations · 45 across the 4 of their papers we have counts for
6 papers
Tipping points in complex ecological systems
Alan Hastings, Sergei Petrovskii, Valerio Lucarini +1
Tipping points are one of the hot topics in the modern physics of complex systems. But what is a tipping point? One generic definition describes it as ``a state of the system where…
A Model of Mass Extinction Accounting for Species's Differential Evolutionary Response to a Catastrophic Climate Change
Amer Alsulami, Sergei Petrovskii
Mass extinction is a phenomenon in the history of life on Earth when a considerable number of species go extinct over a relatively short period of time. The magnitude of extinction…
Attractors and long transients in a spatio-temporal slow-fast Bazykin's model
Pranali Roy Chowdhury, Sergei Petrovskii, Vitaly Volpert +1
Spatio-temporal complexity of ecological dynamics has been a major focus of research for a few decades. Pattern formation, chaos, regime shifts and long transients are frequently o…
Oscillations and pattern formation in a slow-fast prey-predator system
Pranali Roy Chowdhury, Sergei Petrovskii, Malay Banerjee
We consider the properties of a slow-fast prey-predator system in time and space. We first argue that the simplicity of prey-predator system is apparent rather than real and there…
Turing Instability in an Economic-Demographic Dynamical System Can Lead to Pattern Formation on Geographical Scale
Anna Zincenko, Sergei Petrovskii, Vitaly Volpert
Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the histor…
On a quarantine model of coronavirus infection and data analysis
Vitaly Volpert, Malay Banerjee, Sergei Petrovskii
Attempts to curb the spread of coronavirus by introducing strict quarantine measures apparently have different effect in different countries: while the number of new cases has repo…