Titlebook: Mathematics for the Life Sciences; Calculus, Modeling, Glenn Ledder Textbook 20131st edition Springer Science+Business Media, LLC 2013 cal

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出汗

Mathematical Modelingture that is seldom taught in mathematics courses. Models can be derived from mechanistic principles or based on empirical data; there are some commonalities between these types of modeling as well as important differences. The first two sections present the concepts of mathematical modeling. Three

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Working with Probability. Chapter 4 follows with seven sections that are grouped into three themes. The first four sections treat inferential statistics, beginning with an introductory section that introduces the central question of whether a test population is the same as or different from a general population. This is fo

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Dynamics of Single Populationsvia simple examples and simulations, and two additional sections present the principal graphical methods: cobweb analysis for discrete equations and phase line analysis for continuous equations. The final section uses the graphical methods as motivation for the development of the linearized stabilit

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Discrete Dynamical Systemscomputer simulations. The simulations lead to the discovery of an asymptotic growth rate and stage structure, which we can determine by ad hoc methods for systems of only two or three components. The second section presents the matrix algebra that is needed as background for a more mathematical stud

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Continuous Dynamical Systems 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 consi

異端

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ution, the form of the reaction rate, which is discontinuous as a function of the dependent variable, precludes bifurcation of non-trivial steady solutions from the branch of trivial solutions. A constructive approach to the existence theory for non-trivial global solution branches is developed. The

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Glenn Ledder math- ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter- est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase t