Trajectory Simulations and Stable States for Sympatric Speciation by Symmetry-breaking: The Three-Clade Case
Description
This data set contains Python programs, Maple worksheets, and output files for the numerical solution of coupled nonlinear differential equations as they arise in models for biological speciation. N equal entities that represent subpopulations of a species within an ecosystem are described by fifth order polynomials with first or second order coupling terms, leading to a symmetry breaking. Possible states and their stability are investigated numerically for a defined parameter set, and the accessability either by a jump in an environment parameter or by ramping this parameter is demonstrated via simulated trajectories. The occurrence of three-clade states is visualized graphically.
License
Except where otherwised noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International