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Titlebook: An Introduction to Mathematical Epidemiology; Maia Martcheva Textbook 2015 Springer Science+Business Media New York 2015 Data Fitting.Epid

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https://doi.org/10.1007/978-3-642-50928-5ain diseases. Different modes of introducing vaccination in models are shown. Imperfect vaccination as a mechanism leading to backward bifurcation and strain replacement is explained. Strain replacement with perfect vaccination is demonstrated. Quarantine and isolation are discussed and included in
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https://doi.org/10.1007/978-3-642-50928-5 are typically subject to ecological interactions. The chapter first introduces SI and SIR models of species subject to a generalist predator and studies the impact of selective and indiscriminate predation. The classical Lotka–Volterra predator–prey and competition models are reviewed together with
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https://doi.org/10.1007/978-3-642-94195-5n number and growth rate are derived in the context of age-structured models. Probability of survival is explained and fitted to data. Separable solutions are studied. The chapter also introduces and studies an SIS age-structured model. Intracohort, intercohort, and mixed incidence are discussed. Th
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https://doi.org/10.1007/978-3-663-02257-2chapter first derives and studies an SIR model with age-since-infection and mass action incidence. A reproduction number is derived, and its threshold properties are explained. A time-since-recovery model is introduced. Destabilization of this model is studied, and oscillatory solutions are presente
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An Introduction to Mathematical Epidemiology978-1-4899-7612-3Series ISSN 0939-2475 Series E-ISSN 2196-9949
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