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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…
Using mathematical modeling to ask meaningful biological questions through combination of bifurcation analysis and population heterogeneity
Irina Kareva
Classical approaches to analyzing dynamical systems, including bifurcation analysis, can provide invaluable insights into underlying structure of a mathematical model, and the spec…
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…