A mathematical model for the admission process in intensive care units |
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| Institution: | 1. School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;2. College of Computer Science, Chongqing University, Chongqing 400044, China;1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, PR China;2. College of Sciences, North China University of Technology, Beijing 100144, PR China;3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China;1. Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil;2. Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Brazil |
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| Abstract: | A mathematical model is given for the admission process in Intensive Care Units (ICUs). It is shown that the model exhibits bistability for certain values of its parameters. In particular, it is observed that in a two-dimensional parameter space, two saddle-node bifurcation curves terminate at a single point of the cusp bifurcation, creating an enclosed region in which the model has one unstable and two stable states. It is shown that in the presence of bistability, variations in the value of parameters may lead to undesired outcomes in the admission process as the value of state variables abruptly changes. Using numerical simulations, it is also discussed how such outcomes can be avoided by appropriately adjusting the parameter values. |
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| Keywords: | ICU Admission process Bistability Hysteresis Bifurcation Cusp point |
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