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Titlebook: Mathematics for Life Science and Medicine; Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Book 2007 Springer-Verlag Berlin Heidelberg 2007 Epid

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Yasuhiro Takeuchi,Yoh Iwasa,Kazunori SatoA fascinating survey of the theory of dynamical systems in biology and medicine.An accessible introduction for students, also including much food-for-thought for researchers.Includes supplementary mat
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Pathogen Competition and Coexistence and the Evolution of Virulence,s low and there is no immunity to the disease. If disease prevalence is high, strain competition rather selects for low disease fatality. A strain which would go extinct on its own can coexist with a more virulent strain by protecting from it, if it has strong vertical transmission.
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Basic Knowledge and Developing Tendencies in Epidemic Dynamics, In this chapter, some basic ideas of modelling the spread of infectious diseases, the main concepts of epidemic dynamics, and some developing tendencies in the study of epidemic dynamics are introduced, and some results with respect to the spread of SARS in China are given.
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Delayed SIR Epidemic Models for Vector Diseases?,vised to assume that the birth rate is not independent of the total population size. For all models, we summarize the known mathematical results on stability of the equilibria and permanence. We also give some open problems and our conjectures on the threshold for an epidemic to occur.
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Book 2007nd the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine..
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1618-7210 er will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine..978-3-642-07077-8978-3-540-34426-1Series ISSN 1618-7210 Series E-ISSN 2197-5647
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