Faculty Scholarly Dissemination Grants

Title

Derivation of Systems of Stochastic Differential Equations (SDEs) for Macroevolution

Department

Mathematics Department

College

College of Liberal Arts and Sciences

Disciplines

Physical Sciences and Mathematics

Abstract

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.

Conference Name

International Conference on Nonlinear Differential and Difference Equations: Recent Developments and Applications

Conference Location

Antalya/ Turkey

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