4 citations · 17 across the 28 of their papers we have counts for
16 papers · 1 filter
Linear rather than exponential decay: a mathematical model and underlying mechanisms
Irina Kareva, Georgy Karev
Some populations, such as red blood cells (RBCs), exhibit a pattern of population decline that is closer to linear rather than exponential, which has proven to be unexpectedly chal…
Struggle for Existence: the models for Darwinian and non-Darwinian selection
Georgy Karev, Faina Berezovskaya
Classical understanding of the outcome of the struggle for existence results in the Darwinian survival of the fittest. Here we show that the situation may be different, more comple…
How trait distributions evolve in heterogeneous populations
Georgy P. Karev, Artem S. Novozhilov
We consider the problem of determining the time evolution of a trait distribution in a mathematical model of non-uniform populations with parametric heterogeneity. This means that…
Evolutionary games: natural selection of strategies
Georgy Karev
In this paper, I model and study the process of natural selection between all possible mixed strategies in classical two-player two-strategy games. I derive and solve an equation t…
Mathematical Modeling of Extinction of Inhomogeneous Populations
Georgy P. Karev, Irina G. Kareva
Mathematical models of population extinction have a variety of applications in such areas as ecology, paleontology and conservation biology. Here we propose and investigate two typ…
Preventing the tragedy of the commons through punishment of over-consumers and encouragement of under-consumers
Irina Kareva, Benjamin Morin, Georgy Karev
The conditions that can lead to the exploitative depletion of a shared resource, i.e, the tragedy of the commons, can be reformulated as a game of prisoner's dilemma: while preserv…