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Titlebook: Calculus for Cognitive Scientists; Higher Order Models James K. Peterson Book 2016 Springer Science+Business Media Singapore 2016 Antideri

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SystemsThis chapter shows how to solve systems of two linear first order ODE in two independent variables. Such a system has an associated characteristic equation and three classes of roots for the characteristic equation. The solution methods for all three cases are discussed both algebraically and graphically using what is called phase plane analysis.
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Numerical Methods Systems of ODEsThis chapter discusses MatLab tools for the solution of systems of linear ODE. Particular attention is payed to phase plane plotting tools. As an example, a system of two interacting proteins is studied as well as a two box climate model.
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Predator–Prey Models with Self InteractionThis chapter discusses the Predator–Prey model when the sharks and the food species are allowed to interact. The tools are the same and involve a graphical analysis. MatLab tools are also discussed.
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Disease ModelsThis chapter discusses a simple SIR model of disease where S is the susceptible, I is the infectious and R is the removed population. The analysis is graphical involving phase planes and MatLab tools are also developed. The notion of an epidemic is introduced as well.
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978-981-13-5720-6Springer Science+Business Media Singapore 2016
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Davide Mattera,Francesco Palmierieful to them if they continue to live, grow and learn within this area. In our twenty first century world, there is a tight integration between the areas of mathematics, computer science and science. Now a traditional Calculus course for the engineering and physical sciences consists of a four semester sequence as shown in Table ..
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