Modeling Evolution of Heterogeneous Populations
eBook - ePub

Modeling Evolution of Heterogeneous Populations

Theory and Applications

  1. 354 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Modeling Evolution of Heterogeneous Populations

Theory and Applications

Book details
Table of contents
Citations

About This Book

Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models.

  • Introduces Hidden Keystone Variable (HKV) method, which allows modeling evolution of heterogenous populations, while reducing multi-dimensional selection systems to low-dimensional systems of differential equations
  • Demonstrates that replicator dynamics is governed by the principle of maximal relative entropy that can be derived from the dynamics of selection systems instead of being postulated
  • Discusses mechanisms behind models of both Darwinian and non-Darwinian selection
  • Provides examples of applications to various fields, including cancer growth, global demography, population extinction, tragedy of the commons and resource sustainability, among others
  • Helps inform differences in underlying mechanisms of population growth from experimental observations, taking one from experiment to theory and back

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Yes, you can access Modeling Evolution of Heterogeneous Populations by Irina Kareva,Georgy Karev in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica applicata. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2019
ISBN
9780128144329
Topic
Matematica
Subtopic
Matematica applicata

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Chapter 1: Using mathematical modeling to ask meaningful biological questions
  7. Chapter 2: Inhomogeneous models of Malthusian type and the HKV method
  8. Chapter 3: Some applications of inhomogeneous population models of Malthusian type
  9. Chapter 4: Selection systems and the Reduction theorem
  10. Chapter 5: Some applications of the Reduction theorem and the HKV method
  11. Chapter 6: Nonlinear replicator dynamics
  12. Chapter 7: Inhomogeneous logistic equations and models for Darwinian and non-Darwinian evolution
  13. Chapter 8: Replicator dynamics and the principle of minimal information gain
  14. Chapter 9: Subexponential replicator dynamics and the principle of minimal Tsallis information gain
  15. Chapter 10: Modeling extinction of inhomogeneous populations
  16. Chapter 11: From experiment to theory: What can we learn from growth curves?
  17. Chapter 12: Traveling through phase-parameter portrait
  18. Chapter 13: Evolutionary games: Natural selection of strategies
  19. Chapter 14: Natural selection between two games with applications to game theoretical models of cancer
  20. Chapter 15: Discrete-time selection systems
  21. Chapter 16: Conclusions
  22. Chapter 17. Math Appendix: Moment-generating functions for various initial distributions
  23. Bibliogrpahy
  24. Index