90 citations · 116 across the 31 of their papers we have counts for
26 papers · 1 filter
A mathematical framework of consumer-resource dynamics: How to incorporate interactions between interactions in evolutionary process
Alexander S. Bratus, Sergei V. Drozhzhin, Artem S. Novozhilov
A novel mathematical framework is proposed to describe the ecological and evolutionary consequences of consumer--resource interactions. Both the consumer and resource are assumed t…
On a hypercycle equation with infinitely many members
Alexander S. Bratus, Olga S. Chmereva, Ivan Yegorov +1
A hypercycle equation with infinitely many types of macromolecules is formulated and studied both analytically and numerically. The resulting model is given by an integro-different…
Food webs and the principle of evolutionary adaptation
Alexander S. Bratus, Anastasiia V. Korushkina, Artem S. Novozhilov
A principle of evolutionary adaptation is applied to the Lotka--Volterra models, in particular to the food webs. We present a relatively simple computational algorithm of optimizat…
Open Quasispecies Models: Stability, Optimization, and Distributed Extension
Ivan Yegorov, Artem S. Novozhilov, Alexander S. Bratus
We suggest a natural approach that leads to a modification of classical quasispecies models and incorporates the possibility of population extinction in addition to growth. The res…
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…
Rigorous mathematical analysis of the quasispecies model: From Manfred Eigen to the recent developments
Alexander S. Bratus, Artem S. Novozhilov, Yuri S. Semenov
We review the major progress in the rigorous analysis of the classical quasispecies model that usually comes in two related but different forms: the Eigen model and the Crow--Kimur…