Elements of System-Dynamic Simulation: A Textbook with Exercises
This book assumes that the reader does not have much knowledge of mathematics. Therefore, the essentials of the necessary mathematics is gradually introduced. It emphasizes the practical applications of the system-dynamics concept by providing working problems and solutions. Experience shows that the concepts and principles of system-dynamics are fairly easy to learn but are difficult to convert into the language of system-dynamics. Examples and problems are taken from different disciplines like physics, chemistry, process control, biology, ecology, hydrology, environmental health science, economics, social science etc. The problems are so treated that readers from other disciplines can solve them with system-dynamics. The advantage of this approach is that the reader becomes aware of the way problems from various disciplines can be described and explained analogously. This is important for an interdisciplinary approach to the problems.
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Introduction systems and models
Rate and its resultant differential equations and integration
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1/INMTC a. b. amount of water analytical assumed automatic filling axis behaviour pattern calculation carbon dioxide density coefficient complex constant DEATR decision function decrease DELT described dG/df difference differential equation dimension dispersion distance covered Draw the relational dry matter dy/df equals equation dw/df equations concerned equilibrium value example Exercise exponential delay exponential growth factor feedback system Formulate the rate given GMAX goal or equilibrium graph growth curve guilders herbicide increase inflow initial interval kg dry litres logistic growth Lotka-Volterra equations mathematical negative feedback loop nematodes number of animals number of houses number of integrations number of owners organic matter oscillations output oxygen percentage photosynthesis positive feedback loop Question 20 rate equation rate of flow relational diagram relative growth rate represented RORE simulation languages speed steady system dynamics systems thinking tank with water tion total delay valve variable water level wmax zero