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Books > Science & Mathematics > Biology, life sciences > Zoology & animal sciences > Animal ecology
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A Primer on Population Dynamics Modeling - Basic Ideas for Mathematical Formulation (Hardcover, 1st ed. 2022)
Loot Price: R2,732
Discovery Miles 27 320
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A Primer on Population Dynamics Modeling - Basic Ideas for Mathematical Formulation (Hardcover, 1st ed. 2022)
Series: Theoretical Biology
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This textbook provides an introduction to the mathematical models
of population dynamics in mathematical biology. The focus of this
book is on the biological meaning/translation of mathematical
structures in mathematical models, rather than simply explaining
mathematical details and literacies to analyze a model. In some
recent usages of the mathematical model simply with computer
numerical calculations, the model includes some inappropriate
mathematical structure concerning the reasonability of modeling for
the biological problem under investigation. For students and
researchers who study or use mathematical models, it is important
and helpful to understand what mathematical setup could be regarded
as reasonable for the model with respect to the relation between
the biological factors involved in the assumptions and the
mathematical structure of the model. Topics covered in this book
are; modeling with geometric progression, density effect in
population dynamics, deriving continuous time models from discrete
time models, basic modeling for birth-death stochastic processes,
continuous time models, modeling interspecific reaction for the
continuous time population dynamics model, competition and
prey-predator dynamics, modeling for population dynamics with a
heterogeneous structure of population, qualitative analysis on the
discrete time dynamical system, necessary knowledge about
fundamental mathematical theories to understand the dynamical
nature of continuous time models. The book includes popular topics
in ecology and mathematical biology, as well as classic theoretical
topics. By understanding the biological meaning of modeling for
simple models, readers will be able to derive a specific
mathematical model for a biological problem by reasonable modeling.
The contents of this book is made accessible for readers without
strong Mathematical background.
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