2 citations · 2 across the 2 of their papers we have counts for
3 papers
Solutions with a bounded support promote permanence of a distributed replicator equation
Alexander S. Bratus, Vladimir P. Posvyanskii, Artem S. Novozhilov
The now classical replicator equation describes a wide variety of biological phenomena, including those in theoretical genetics, evolutionary game theory, or in the theories of the…
On the reaction-diffusion replicator systems: Spatial patterns and asymptotic behavior
Artem S. Novozhilov, Vladimir P. Posvyanskii, Alexander S. Bratus
The replicator equation is ubiquitous for many areas of mathematical biology. One of major shortcomings of this equation is that it does not allow for an explicit spatial structure…
Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates
Alexander S. Bratus', Vladimir P. Posvyanskii, Artem S. Novozhilov
Analytical analysis of spatially extended autocatalytic and hypercyclic systems is presented. It is shown that spatially explicit systems in the form of reaction-diffusion equation…