The HKV method of solving of replicator equations and models of biological populations and communities

Abstract

Replicator equations (RE) are among the basic tools in mathematical theory of selection and evolution. The method of Hidden keystone variables (HKV) for reducing a wide class of RE of high or even infinite dimensionality to low-dimensional escort systems of ODEs, which can be explored analytically in many cases was developed. The method has potential for different applications to models of biological populations and communities

31 pages; 7 figures

References in corpus (2)

• On the spread of epidemics in a closed heterogeneous population
• Analytical Models of Forest Dynamics

Cited by in corpus (1)

• Using mathematical modeling to ask meaningful biological questions through combination of bifurcation analysis and population heterogeneity