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This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases. It integrates modeling, mathematics, and applications in a semi-rigorous way, stating theoretical results and giving references but not necessarily giving detailed proofs, providing a solid introduction to the field to undergraduates (junior and senior level), graduate students in applied mathematics, ecology, epidemiology or evolutionary biology, sustainability scientists, and to researchers who must routinely read the practical and theoretical results that come from modeling in ecology and epidemiology.   This new edition has been updated throughout. In particular the chapters on epidemiology have been updated and extended considerably, and there is a new chapter on spatially structured populations that incorporates dispersal. The number of problems has been increased and the number of projects has more than doubled, in particular those stressing connections to data.  In addition some examples, exercises, and projects include use of Maple and Matlab.  Review of first edition:   "A strength of the book is the large  number of biologically-motivated problem sets. These and the references to the original biological  papers would be valuable resources for an instructor." (UK Nonlinear News, 2001).

Epidemiology -- Mathematical models. --- Population biology -- Mathematical models. --- Population biology --- Epidemiology --- Biology --- Health & Biological Sciences --- Biology - General --- Mathematical models --- Mathematical models. --- Mathematics. --- Community ecology, Biotic. --- Biomathematics. --- Mathematical and Computational Biology. --- Community & Population Ecology. --- Ecology. --- Balance of nature --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Ecology --- Modelización (4194220) --- Bibliografía recomendada --- Biocenoses --- Biocoenoses --- Biogeoecology --- Biological communities --- Biomes --- Biotic community ecology --- Communities, Biotic --- Community ecology, Biotic --- Ecological communities --- Ecosystems --- Natural communities --- Mathematics

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Mathematical and Statistical Estimation Approaches in Epidemiology compiles t- oretical and practical contributions of experts in the analysis of infectious disease epidemics in a single volume. Recent collections have focused in the analyses and simulation of deterministic and stochastic models whose aim is to identify and rank epidemiological and social mechanisms responsible for disease transmission. The contributions in this volume focus on the connections between models and disease data with emphasis on the application of mathematical and statistical approaches that quantify model and data uncertainty. The book is aimed at public health experts, applied mathematicians and sci- tists in the life and social sciences, particularly graduate or advanced undergraduate students, who are interested not only in building and connecting models to data but also in applying and developing methods that quantify uncertainty in the context of infectious diseases. Chowell and Brauer open this volume with an overview of the classical disease transmission models of Kermack-McKendrick including extensions that account for increased levels of epidemiological heterogeneity. Their theoretical tour is followed by the introduction of a simple methodology for the estimation of, the basic reproduction number,R . The use of this methodology 0 is illustrated, using regional data for 1918–1919 and 1968 in uenza pandemics.

Epidemiology --Mathematics. --- Epidemiology --Statistical methods. --- Epidemiology --- Statistics as Topic --- Epidemiologic Methods --- Public Health --- Health Care Evaluation Mechanisms --- Investigative Techniques --- Mathematics --- Environment and Public Health --- Natural Science Disciplines --- Quality of Health Care --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Disciplines and Occupations --- Health Care Quality, Access, and Evaluation --- Health Care --- Mathematical Statistics --- Epidemiology & Epidemics --- Physical Sciences & Mathematics --- Health & Biological Sciences --- Statistical methods --- Emerging infectious diseases. --- Epidemiology. --- Medicine. --- Statistics. --- Statistical analysis --- Statistical data --- Statistical science --- Clinical sciences --- Medical profession --- Emerging infections --- New infectious diseases --- Re-emerging infectious diseases --- Reemerging infectious diseases --- Mathematics. --- Infectious diseases. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Biomedicine general. --- Infectious Diseases. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Econometrics --- Diseases --- Public health --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Communicable diseases --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Health Workforce --- Statistics . --- Biomedicine, general. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk