Modeling Evolution of Heterogeneous Populations

1. Using mathematical modeling to ask meaningful biological questions through combination of bifurcation analysis and population heterogeneity2. Inhomogeneous models of Malthusian type and the HKV method3. Some applications of inhomogeneous population models of Malthusian type4. Selection systems and the reduction theorem5. Some applications of the reduction theorem and the HKV methods6. Nonlinear replicator dynamics7. Inhomogeneous logistic equations and models for Darwinian and non-Darwinian evolution8. Replicator dynamics and the principle of minimal information gain9. Subexponential replicator dynamics and the principle of minimal Tsallis information gain10. Modeling extinction of inhomogeneous populations11. From experiment to theory: What can we learn from growth curves? 12. Traveling through phase-parameter portrait13. Evolutionary games: Natural selection of strategies14. Natural selection between two games with applications to game theoretical models of cancer15. Discrete-time selection systems16. Conclusions17. Moment-generating functions for various initial distributions