Modeling Evolution of Heterogeneous Populations
Theory and Applications
- 1st Edition - October 16, 2019
- Authors: Irina Kareva, Georgy Karev
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 1 4 3 6 8 - 1
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 1 4 4 3 2 - 9
Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogen… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteModeling 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
Biological scientists looking to expand their mathematical modelling toolbox. Advanced graduate and 1st year PhD students. The areas of applicability of the method involve microbiology, ecology, population biology, cancer, social sciences, and infectious diseases, among others
- No. of pages: 354
- Language: English
- Edition: 1
- Published: October 16, 2019
- Imprint: Academic Press
- Paperback ISBN: 9780128143681
- eBook ISBN: 9780128144329
IK
Irina Kareva
GK