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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.

Mathematics --- Biomathematics. Biometry. Biostatistics --- Biology --- Computer science --- biomathematica --- biologie --- informatica --- wiskunde --- Population biology --- Population biology. --- Biologia de poblacions --- Models matemàtics --- Mathematical models.

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Ecology. --- Balance of nature --- Biology --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology --- Mamífers marins --- Etologia

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Biotic communities. --- Biocenoses --- Biocoenoses --- Biogeoecology --- Biological communities --- Biomes --- Biotic community ecology --- Communities, Biotic --- Community ecology, Biotic --- Ecological communities --- Ecosystems --- Natural communities --- Ecology --- Population biology

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Picturing Ecology is a must-read for scholars of visual culture in the sciences, providing an inside-out account of the social, material, and highly visual practices of photography and ecology as they emerged at the beginning of the 20th century. Damian Hughes takes his reader on a journey, from the observation of plants in 19th century botany, to the 20th century observation of 'plant communities’, and the development of an ‘ecological eye’. It makes for compelling reading, and will change the way we think about embedded and embodied practices of photography in the sciences. —Kelley Wilder, Professor of Photographic History, De Montfort University, UK. In this beautifully written and deeply researched book, Damian Hughes has achieved something remarkable. He has provided no less than an authoritative history of the formation of ecology in Great Britain that also demonstrates the integral role played by photography in this formation. Significantly, Hughes shows us in detail how photography was negotiated and integrated into scientific practice. This work is a major contribution that is bound to be a standard go-to for future historians of ecology and photography. —Omar W. Nasim, Professor of History of Science, University of Regensburg, Germany. This insightful and deeply researched book shows how the photograph became a vital tool for understanding the interactions of the living world, recording associations, connections, and ephemeral traces. With a background in ecology, photography, and history, Damian Hughes is ideally qualified to open up fresh perspectives on the significance of visual practices for the making of scientific disciplines. —James A. Secord FBA, Emeritus Professor of History and Philosophy of Science, University of Cambridge. This book examines the role of photography and visual culture in the emergence of ecological science between 1895 and 1939. Dr Damian Hughes is an independent researcher and photohistorian with 25 years’ experience as a practicing field ecologist. .

Ecology. --- Balance of nature --- Biology --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology --- Science --- Photography. --- Science and Technology Studies. --- History of Science. --- Social aspects. --- History. --- Science and society --- Sociology of science

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Ecology. --- Balance of nature --- Biology --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology --- Desertització --- Erosió eòlica --- Degradació dels sòls --- Àsia oriental