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- W89702005 abstract "This chapter uses the ideas of continuous dynamics of single populations from Chapter 5 and the techniques of matrix algebra from Chapter 6 to develop the mathematics of continuous dynamical systems. Only autonomous systems are considered. After two sections that introduce a lead poisoning model and Michaelis–Menten kinetics as examples and study them with a combination of nondimensionalization and asymptotic ideas, the heart of the chapter consists of a section on nullcline analysis and two sections on linearized stability analysis. The problem sets consist largely of case studies for models in epidemiology, ecology, environmental science, and physiology, broken into components to fit into the various sections. The chapter concludes with a finished case study that presents a well-known model for HIV interaction with the immune system and uses methods from the chapter to analyze and improve the model." @default.
- W89702005 created "2016-06-24" @default.
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- W89702005 date "2013-01-01" @default.
- W89702005 modified "2023-10-16" @default.
- W89702005 title "Continuous Dynamical Systems" @default.
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- W89702005 doi "https://doi.org/10.1007/978-1-4614-7276-6_7" @default.
- W89702005 hasPublicationYear "2013" @default.
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