5 papers
Mathematical Model of Evolution of Non-Degenerate Replicator Systems
Alexander S. Bratus, Sergey Drozhzhin, Tatiana Yakushkina
We propose and analyse a mathematical model of evolutionary adaptation for non-degenerate (permanent) replicator systems, in which the fitness landscape matrix evolves on a slow ti…
Chapter 2: Geometry of the Fitness Surface and Trajectory Dynamics of Replicator Systems
A. S. Bratus, S. Drozhzhin, T. Yakushkina
We study the geometry of the mean fitness surface of replicator systems and its relationship to evolutionary trajectory dynamics. Using the symmetric--antisymmetric decomposition o…
Mathematical Models of Evolution and Replicator Systems Dynamics
A. S. Bratus, S. Drozhzhin, T. Yakushkina
This is an edited English version of the authors' monograph "Mathematical Models of Evolution and Replicator Systems Dynamics", posted on arXiv as a single document to which chapte…
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…
Fitness Optimization and Evolution of Permanent Replicator Systems
Sergei Drozhzhin, Tatiana Yakushkina, Alexander Bratus
In this paper, we discuss the fitness landscape evolution of permanent replicator systems using a hypothesis that the specific time of evolutionary adaptation of the system paramet…