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I ideas 1 1 types of structures three 1. 1 platforms. versions. and Modeling . . . . . . . . . . . . . . . . . . . . three 1. 2 makes use of of medical types . . . . . . . . . . . . . . . . . . . . . . . . four 1. three instance: Island Biogeography . . . . . . . . . . . . . . . . . . . . . 6 1. four Classifications of types . . . . . . . . . . . . . . . . . . . . . . . . 10 1. five Constraints on version constitution . . . . . . . . . . . . . . . . . . . . . 12 1. 6 a few Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 7 Misuses of types: The darkish part . . . . . . . . . . . . . . . . . . . thirteen 1. eight workouts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 The Modeling method 17 2. 1 types Are difficulties . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. 2 replacement ways . . . . . . . . . . . . . . . . . . . . . . 18 2. three An instance: inhabitants Doubling Time . . . . . . . . . . . . . . . . 24 2. four version goals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2. five workouts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 three Qualitative version formula 32 three. 1 the best way to consume an Elephant . . . . . . . . . . . . . . . . . . . . . . . . . 32 three. 2 Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 three. three Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 three. four blunders in Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . forty four three. five merits and drawbacks of Forrester Diagrams . . . . . . . . . forty four three. 6 ideas of Qualitative formula . . . . . . . . . . . . . . . . . . forty five three. 7 version Simplification . . . . . . . . . . . . . . . . . . . . . . . . . . forty seven three. eight different Modeling difficulties . . . . . . . . . . . . . . . . . . . . . . . . forty nine viii Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . three. nine workouts fifty three four Quantitative version formula: I four. 1 From Qualitative to Quantitative . . . . . . . . . . . . . . . . . Finite distinction Equations and Differential Equations four. 2 . . . . . . . . . . . . . . . . four. three organic suggestions in Quantitative types . . . . . . . . . . . . . . . . . . . . . . . . . . four. four instance version . . . . . . . . . . . . . . . . . . . . . . . . . . . . . four. five routines five Quantitative version formula: I1 eighty one . . . . . . . . . . . . . . . . . . . . . . . . . . . five. 1 actual procedures eighty one . . . . . . . . . . . . . . . five. 2 utilizing the Toolbox of organic procedures 89 . . . . . . . . . . . . . . . . . . . . . . . . . . . . five. three worthy services ninety six . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . five. four Examples 102 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . five. five routines 104 6 Numerical strategies 107 . . . . . . . . . . . . . . . . . . . . . . . 6. 1 errors desktops Make 107 . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 2 Numerical Integration one hundred ten . . . . . . . . . . . . . . . . 6. three Numerical Instability and Stiff Equations one hundred fifteen . . . . . . . . . . . . . .

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