Titlebook: Dynamics of Complex Interconnected Biological Systems; Thomas L. Vincent,Alistair I. Mees,Leslie S. Jenni Book 1990 Birkhäuser Boston 1990

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Dynamics of Complex Interconnected Biological Systems978-1-4684-6784-0

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Sonia Ferns,Vaille Dawson,Christine Howittry complicated behaviour leads us to re-examine the goal of mathematical modelling. We may distinguish two loose categories of model: the “pure” model whose end is the understanding of phenomena, and the “applied” model directed to their control. Central to both is the notion of prediction, and it i

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Introduction: The Purpose of This Bookthe level of recruitment expected to enter the fishery four years later. These predictions are further improved by introducing into the predictive models the abundance of 4 year old juvenile rock lobsters caught in rock lobster pots..A model of the fishery, which uses these predictions, has been dev

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Kelly Ann Krawczyk,Bridgett A. Kinghe control of blood glucose levels in diabetic individuals. Based on the results of the mathematical optimization a semiclosed loop algorithm is proposed for continuous insulin delivery to diabetic patients. The algorithm is based on three hourly plasma glucose samples. A theoretical evaluation of t

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Kelly Ann Krawczyk,Bridgett A. Kingom first principles in the way that can typically be done in the physical sciences. Sometimes, attempts are made to fit a parametrised model to data, but the fit is usually very bad and all that is hoped for is a qualitative understanding. Recent work in dynamical systems theory has made it possible

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Kelly Ann Krawczyk,Bridgett A. Kingate space and a flow. The flow tells us how the state of the system changes with time. A lot can be said about the qualitative behaviour of the system by the geometry of the flow, in particular the geometry of the attractors in the flow. There are just a few elementary attractors: equilibria, period

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The RDF Jet—A New Electric Aero-engineion of continuous-time population models, and with the question of whether or not this chaotic behavior can occur when a feedback control management strategy is applied to continuous-time population models. Using two classical population models, it is shown that both exponential discretization and d

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To Build Smart Sensors Using MEMSy evolution equations with impulses. An appropriate setting is a space of Banach space valued functions of bounded variation. Some general properties, such as existence and uniqueness, are considered, along with some dynamical system concepts of impulsive evolution equations. The study is motivated

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The RDF Jet—A New Electric Aero-engineintroduction of dimensionless variables often simplifies the form of the equations. In addition, if scaled dimensionless variables are introduced then it is sometimes possible to obtain useful approximations to the solution using, for example, perturbation methods. A discussion of the use of these t