| 书目名称 | Individual-Based Models and Their Limits |
| 编辑 | Ryszard Rudnicki,Radosław Wieczorek |
| 视频video | |
| 概述 | The book is intended for a wide audience of both mathematicians and biologists .Provides a review of the rapidly expanding field.No similar item on the publishing market |
| 丛书名称 | SpringerBriefs in Applied Sciences and Technology |
| 图书封面 |  |
| 描述 | .Individual-based models (IBM) describe a population as a collection of different organisms whose local interactions determine the behaviour of the entire population. The individual description is convenient for computer simulations and the determination of various model parameters, and appropriate limit passages lead to the transport equations used in classical population dynamics models. The aim of this book is to provide a brief mathematical introduction to IBMs and their application to selected biological topics. The book is divided into seven chapters. In the first chapter we give a general description of IBMs and we present examples of models to illustrate their possible applications. Examples of applications include age, size and phenotype models, coagulation-fragmentation process, and models of genome evolution. The second chapter contains some theoretical results concerning limit passages from IBMs to phenotype and age-structured models. The rate of this convergence formulated as functional central limit theorems is presented in Chapter 3. As a result of the limit passage can be a superprocess, i.e., a stochastic process with values in a space of measures. Chapter 4 prese |
| 出版日期 | Book 2024 |
| 关键词 | Individual-Based Model; Population Dynamics; Superprocess; Limit Passage; Structured Models; Transport Eq |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-75270-4 |
| isbn_softcover | 978-3-031-75269-8 |
| isbn_ebook | 978-3-031-75270-4Series ISSN 2191-530X Series E-ISSN 2191-5318 |
| issn_series | 2191-530X |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:40:31
