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Titlebook: Mathematical Modeling in Ecology; A Workbook for Stude Clark Jeffries Book 1989 Birkhäuser Boston 1989 dynamical systems.dynamische Systeme

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Formalizing the Notion of Stability,m/hr so long as the train is at least 10 km from its destination. Suppose the initial distance from the train to the destination is 510 km. The reader can no doubt appreciate that the train can take at most five hours before lying within 10 km of its destination. This simple idea could readily be ex
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Introduction to Ecosystem Models,unctions of time A(t). As in the previous chapter, A(t) is defined relative to a special trajectory .(t), a trajectory of observed, “normal,” or, on the basis of experience, predicted compartment values. Recall the definition of A(t): . where .(t) is a trajectory of the ecosystem model (dynamical sy
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Qualitative Stability of Ecosystem Models,y. However, it is generally regarded as very difficult or impossible to specify exactly all the significant energy flow rates in an ecosystem, so every model inherently involves simplifications and approximations of nature. We know that the flow rates must “add up” so that energy is conserved; that
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Sequencing Energy Flow Models to Account for Shortgrass Prairie Energy Dynamics, of the text and problems have been couched in terms of ecosystems, but we have dealt mainly with abstract mathematics. Even with “ecosystem” equations we have used energy flow rate functions (the “collisions” type predation rates) which would be better suited to idealized chemical reaction networks
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978-0-8176-3421-6Birkhäuser Boston 1989
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Holistic Ecosystem Models with Attractor Regions,This section contains the attractor region analogue of the attractor trajectory result in section three of Chapter Six. Our aim is the specification of conditions on the coefficient functions of a very general type of ecosystem model which are sufficient to guarantee the existence of an attractor region.
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