Modeling Evolution of Heterogeneous Populations

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  • Author : Irina Kareva
  • Publisher : Academic Press
  • Pages : 354 pages
  • ISBN : 0128144327
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Modeling Evolution of Heterogeneous Populations

Download or Read online Modeling Evolution of Heterogeneous Populations full in PDF, ePub and kindle. this book written by Irina Kareva and published by Academic Press which was released on 16 October 2019 with total page 354 pages. We cannot guarantee that Modeling Evolution of Heterogeneous Populations book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

Modeling Evolution of Heterogeneous Populations

Modeling Evolution of Heterogeneous Populations
  • Author : Irina Kareva,Georgy Karev
  • Publisher : Academic Press
  • Release : 16 October 2019
GET THIS BOOK Modeling Evolution of Heterogeneous Populations

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

Modeling Evolution of Heterogenous Populations

Modeling Evolution of Heterogenous Populations
  • Author : Irina Kareva,Georgy Karev
  • Publisher : Academic Press
  • Release : 15 September 2019
GET THIS BOOK Modeling Evolution of Heterogenous Populations

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

Populations and the Evolution of Dispersal on Spatially Structured Heterogeneous Landscapes

Populations and the Evolution of Dispersal on Spatially Structured Heterogeneous Landscapes
  • Author : David Edward Hiebeler
  • Publisher : Unknown
  • Release : 14 June 2021
GET THIS BOOK Populations and the Evolution of Dispersal on Spatially Structured Heterogeneous Landscapes

This thesis develops methods to analyze the behavior of spatially distributed populations. Both spatially explicit stochastic computer simulations and mathematical approximations are used and their results compared, with the goal of developing mathematical approximations that can accurately predict the behavior of the simulations, which are often quite computationally demanding. Three models are investigated.

Epidemic Dynamics in Heterogeneous Populations

Epidemic Dynamics in Heterogeneous Populations
  • Author : Thomas Joseph Hladish
  • Publisher : Unknown
  • Release : 14 June 2021
GET THIS BOOK Epidemic Dynamics in Heterogeneous Populations

Epidemiological models traditionally make the assumption that populations are homogeneous. By relaxing that assumption, models often become more complicated, but better representations of the real world. Here we describe new computational tools for studying heterogeneous populations, and we examine consequences of two particular types of heterogeneity: that people are not all equally likely to interact, and that people are not all equally likely to become infected if exposed to a pathogen. Contact network epidemiology provides a robust and flexible paradigm

Complex Population Dynamics

Complex Population Dynamics
  • Author : Bernd Blasius,Jrgen Kurths,Lewi Stone
  • Publisher : World Scientific
  • Release : 14 June 2021
GET THIS BOOK Complex Population Dynamics

This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even

Evolutionary Models in Structured Populations

Evolutionary Models in Structured Populations
  • Author : C. Hadjichrysanthou
  • Publisher : Unknown
  • Release : 14 June 2021
GET THIS BOOK Evolutionary Models in Structured Populations

Evolutionary dynamics have been traditionally studied in infinitely large homogeneous populations where each individual is equally likely to interact with every other individual. However, real populations are finite and characterised by complex interactions among individuals. In this work, the influence of the population structure on the outcome of the evolutionary process is explored. Through an analytic approach, this study first examines the stochastic evolutionary game dynamics following the update rules of the invasion process, an adaptation of the Moran process,

Disease Evolution

Disease Evolution
  • Author : Zhilan Feng,Ulf Dieckmann,Simon A. Levin
  • Publisher : American Mathematical Soc.
  • Release : 14 June 2021
GET THIS BOOK Disease Evolution

Infectious diseases are continuing to threaten humankind. While some diseases have been controlled, new diseases are constantly appearing. Others are now reappearing in forms that are resistant to drug treatments. A capacity for continual re-adaptation furnishes pathogens with the power to escape our control efforts through evolution. This makes it imperative to understand the complex selection pressures that are shaping and reshaping diseases. Modern models of evolutionaryepidemiology provide powerful tools for creating, expressing, and testing such understanding. Bringing together international

Integro differential Models for Evolutionary Dynamics of Populations in Time heterogeneous Environments

Integro differential Models for Evolutionary Dynamics of Populations in Time heterogeneous Environments
  • Author : Susely Figueroa Iglesias
  • Publisher : Unknown
  • Release : 14 June 2021
GET THIS BOOK Integro differential Models for Evolutionary Dynamics of Populations in Time heterogeneous Environments

This thesis focuses on the qualitative study of several parabolic equations of the Lotka-Volterra type from evolutionary biology and ecology taking into account a time-periodic growth rate and a non-local competition term. In the initial part we first study the dynamics of phenotypically structured populations under the effect of mutations and selection in environments that vary periodically in time and then the impact of a climate change on such population considering environmental conditions which vary according to a linear trend,