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Titlebook: An Introduction to Mathematical Population Dynamics; Along the trail of V Mimmo Iannelli,Andrea Pugliese Textbook 2014 Springer Internation

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发表于 2025-3-21 19:43:55 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Mathematical Population Dynamics
期刊简称Along the trail of V
影响因子2023Mimmo Iannelli,Andrea Pugliese
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发行地址Extended overview of applications of Mathematics to Biology.Attention to mathematical rigour in applied and empirical context.Detailed construction of models.A collection of problems designed to appro
学科分类UNITEXT
图书封面Titlebook: An Introduction to Mathematical Population Dynamics; Along the trail of V Mimmo Iannelli,Andrea Pugliese Textbook 2014 Springer Internation
影响因子.This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas..
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发表于 2025-3-21 21:04:17 | 显示全部楼层
Models of discrete-time population growthtime . and abundance .(.), are real valued and are allowed to take any value. Use of continuous models lets us take advantage of the tools provided by calculus and, moreover, such a framework belongs to the traditional approach to modeling physical phenomena. However, since the 1970‘s, discrete time
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Spatial spread of a populationions in the geographical region occupied by the population. Thus the description of the spatial structure of the population may become important if the habitat is not spatially homogeneous. From the viewpoint of the mechanisms regulating the growth of a population in a spatially structured habitat,
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Predator-prey modelsf the ... The incipit of Fedro‘s fable seems to deal with a case of competition … for the resource of a . but we should not trust on the wolf‘s complaint … since the beginning of the world wolves are wolves and lambs are lambs … each of the two species plays a precise role in the scheme of Nature …
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Competition among speciest are responsible for the logistic effect are also active in the competition among different species (.) and, together with predation, competition is another fundamental ecological interaction. The first of the models we will discuss in this chapter is due to Volterra who presented it in the famous
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Mathematical modeling of epidemicsetius‘s sixth book of “De Rerum Natura” or as in other more recent descriptions that we find in the literature. The “Black Death”, the plague that spread across Europe from 1347 to 1352 and made 25 millions of victims, seems to be far from our lives, but more recent events, such as the outbreak of t
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Delay Equations century and a first important contribution was due to Vito Volterra in the field of the class of equations that, after him, are actually named Volterra Equations (see . and the brief historical review in .). However, delay equations, in the case of concentrated delays as well as of distributed dela
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