ISBN: 9780128143681

Modeling Evolution of Heterogeneous Populations: Theory and Applicationsdescribes, develops and provides applications of a method that allows incorporating population heterogeneity into s… More...

Modeling Evolution of Heterogeneous Populations: Theory and Applicationsdescribes, 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 equationsDemonstrates 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 postulatedDiscusses mechanisms behind models of both Darwinian and non-Darwinian selectionProvides examples of applications to various fields, including cancer growth, global demography, population extinction, tragedy of the commons and resource sustainability, among othersHelps inform differences in underlying mechanisms of population growth from experimental observations, taking one from experiment to theory and back | Modeling Evolution Of Heterogeneous Populations by Irina Kareva Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Irina Kareva<

ISBN: 9780128143681

Modeling Evolution of Heterogenous Populations: Theory and Applications seeks to address the gap that exists in the science, thus helping biological scientists model the evolution of hete… More...

Modeling Evolution of Heterogenous Populations: Theory and Applications seeks to address the gap that exists in the science, thus helping biological scientists model the evolution of heterogenous populations and visualize evolutionary trajectories. In a vast majority of conceptual, and often even descriptive mathematical models of population dynamics, whether it be predator-prey type models, spread of infectious diseases, or tumor growth, population homogeneity is the first assumption made. As natural selection and evolution cannot act on any population that is not genetically heterogeneous, this book tries to sew these realms together. Applied Mathematics & Applied Mathematics & Mathematics, [PU: Academic Press]<

2019, ISBN: 9780128143681

Theory and Applications, Buch, Softcover, [PU: Academic Press Inc], Academic Press Inc, 2019