Derivation of Systems of Stochastic Differential Equations (SDEs) for Macroevolution
College of Liberal Arts and Sciences
Physical Sciences and Mathematics
Systems of stochastic differential equations (SDEs) are derived that describe the evolutionary dynamics of genera and species. Two different hypotheses are made in the model construction, specifically, the rate of change of the number of genera is either proportional to the number of genera in the family or is proportional to the number of species in the family. Asymptotic mean numbers of species per genera are derived for both hypotheses. Computational results for the derived systems of SDEs agree well with the observed results for several families.
International Conference on Nonlinear Differential and Difference Equations: Recent Developments and Applications
Bulut, Ummugul and Allen, Edward J., "Derivation of Systems of Stochastic Differential Equations (SDEs) for Macroevolution" (2014). Faculty Scholarly Dissemination Grants. 967.