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OPTIMAL CONTROL OF A BIOREACTOR WITH MODAL SWITCHING

2001
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Mathematical Models and Methods in Applied Sciences
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We consider a model for bioremediation of a pollutant by bacteria in a well-stirred bioreactor. A key feature is the inclusion of dormancy for bacteria, which occurs when the critical nutrient level falls below a critical threshold. This feature gives a discrete component to the system due to the change in dynamics (governed by a system of ordinary differential equations between transitions) at switches to/from dormancy. After setting the problem in an appropriate state space, the control is

doi:10.1142/s0218202501001185
fatcat:kagtnd4yyrfsrofgmafuslluxq