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This book traces the history of population dynamics--a theoretical subject closely connected to genetics, ecology, epidemiology and demography--where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. From a different perspective, it also shows the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging. -- from Back Cover
This book chronicles the historical development of mathematical population dynamics and its profound impact on various scientific fields. The author, Nicolas Bacaer, presents an overview of key themes such as exponential growth, stochastic models, and chaotic populations, tracing their origins from foundational thinkers like Euler and Malthus to contemporary applications. The book also examines the challenges scientists face in providing reliable predictions for epidemic control, resource management, and demographic shifts, highlighting the intersection of theoretical mathematics and real-world policy decisions.
The book is presented as a historical survey of mathematical population dynamics, suitable for those interested in the scientific and mathematical underpinnings of population studies. Its scope covers theoretical developments and practical applications, suggesting a text that bridges academic research with real-world problem-solving. The inclusion of contemporary issues like epidemic control and demographic change indicates a focus on the ongoing relevance and utility of this field.
Page Count:
160
Publication Date:
2010-01-01
ISBN-10:
0857291149
ISBN-13:
9780857291141
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