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Methods in social research (general) --- Demography --- Population forecasting - Computer simulation - Congresses --- Multiagent systems - Congresses --- Demography - Congresses --- Population - Models - Congresses --- Intelligent agents (Computer software) - Congresses --- Population forecasting --- Multiagent systems --- Population --- Intelligent agents (Computer software)

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Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided. Covers the latest research in mathematical modeling of infectious disease epidemiology Integrates deterministic and stochastic approaches Teaches skills in model construction, analysis, inference, and interpretation Features numerous exercises and their detailed elaborations Motivated by real-world applications throughout

Epidemiology --- Communicable diseases --- Contagion and contagious diseases --- Contagious diseases --- Infectious diseases --- Microbial diseases in human beings --- Zymotic diseases --- Mathematical models --- Mathematical models. --- Diseases --- Infection --- Epidemics --- Public health --- Bayesian statistical inference. --- ICU model. --- Markov chain Monte Carlo method. --- Markov chain Monte Carlo methods. --- ReedІrost epidemic. --- age structure. --- asymptotic speed. --- bacterial infections. --- biological interpretation. --- closed population. --- compartmental epidemic systems. --- consistency conditions. --- contact duration. --- demography. --- dependence. --- disease control. --- disease outbreaks. --- disease prevention. --- disease transmission. --- endemic. --- epidemic models. --- epidemic outbreak. --- epidemic. --- epidemiological models. --- epidemiological parameters. --- epidemiology. --- general epidemic. --- growth rate. --- homogeneous community. --- hospital infections. --- hospital patients. --- host population growth. --- host. --- human social behavior. --- i-states. --- individual states. --- infected host. --- infection transmission. --- infection. --- infectious disease epidemiology. --- infectious disease. --- infectious diseases. --- infectious output. --- infective agent. --- infectivity. --- intensive care units. --- intrinsic growth rate. --- larvae. --- macroparasites. --- mathematical modeling. --- mathematical reasoning. --- maximum likelihood estimation. --- microparasites. --- model construction. --- outbreak situations. --- outbreak. --- pair approximation. --- parasite load. --- parasite. --- population models. --- propagation speed. --- reproduction number. --- separable mixing. --- sexual activity. --- stochastic epidemic model. --- structured population models. --- susceptibility. --- vaccination.

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Human impacts are dramatically altering our natural ecosystems but the exact repercussions on ecological sustainability and function remain unclear. As a result, food web theory has experienced a proliferation of research seeking to address these critical areas. Arguing that the various recent and classical food web theories can be looked at collectively and in a highly consistent and testable way, Food Webs synthesizes and reconciles modern and classical perspectives into a general unified theory. Kevin McCann brings together outcomes from population-, community-, and ecosystem-level approaches under the common currency of energy or material fluxes. He shows that these approaches--often studied in isolation--all have the same general implications in terms of population dynamic stability. Specifically, increased fluxes of energy or material tend to destabilize populations, communities, and whole ecosystems. With this understanding, stabilizing structures at different levels of the ecological hierarchy can be identified and any population-, community-, or ecosystem-level structures that mute energy or material flow also stabilize systems dynamics. McCann uses this powerful general framework to discuss the effects of human impact on the stability and sustainability of ecological systems, and he demonstrates that there is clear empirical evidence that the structures supporting ecological systems have been dangerously eroded. Uniting the latest research on food webs with classical theories, this book will be a standard source in the understanding of natural food web functions.

SCIENCE / Life Sciences / Biology / General. --- SCIENCE / Life Sciences / Ecology. --- Biotic communities. --- Food chains (Ecology) --- Biocenoses --- Biocoenoses --- Biogeoecology --- Biological communities --- Biomes --- Biotic community ecology --- Communities, Biotic --- Community ecology, Biotic --- Ecological communities --- Ecosystems --- Natural communities --- Ecology --- Population biology --- Food webs (Ecology) --- Trophic ecology --- Animals --- Nutrient cycles --- Food --- Canadian Shield. --- Gershgorin discs. --- Hopf bifurcation. --- Robert Holt. --- adaptive behavior. --- alternative stable states. --- aquatic microcosm. --- asynchrony. --- bifurcation. --- bird feeder effect. --- body size. --- competition. --- consumers. --- consumerвesource dynamics. --- consumerвesource interactions. --- consumerвesource models. --- consumerвesource theory. --- continuous logistic growth models. --- detritus. --- diamond food web. --- discrete equations. --- dynamical systems theory. --- dynamical systems. --- ecological instability. --- ecological stability. --- ecological systems. --- ecosystem collapse. --- ecosystem dynamics. --- ecosystem size. --- ecosystem stability. --- ecosystems. --- eigenvalue. --- equilibrium steady state. --- equilibrium. --- excitable interactions. --- food chains. --- food web structure. --- food web theory. --- food webs. --- foraging. --- generalism. --- generalists. --- grazing. --- habitat. --- human impacts. --- interaction strength. --- intraguild predation model. --- lags. --- lake trout. --- local stability analysis. --- matrix theory. --- microcosm experiments. --- mobile adaptive predators. --- modular theory. --- module. --- motif. --- natural ecosystems. --- nature. --- nonequilibrium dynamics. --- nonequilibrium steady state. --- nonexcitable interactions. --- nutrient decomposition. --- nutrient recycling. --- nutrients. --- omnivory. --- oscillation. --- oscillatory decay. --- phase space. --- population dynamics. --- population growth. --- population models. --- population structure. --- populations. --- resources. --- space. --- species. --- stage structure. --- stage-structured lags. --- subsidies. --- subsystems. --- sustainability. --- time series. --- trade-offs. --- traits. --- whole-community approach. --- whole-system matrix.