Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models |
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Authors: | Berardino D’Acunto Luigi Frunzo |
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Institution: | University of Naples “Federico II”, Department of Mathematics and Applications, via Claudio 21, 80125, Napoli, Italy |
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Abstract: | The work presents an analysis of solutions to a free boundary value problem for a multispecies biofilm growth model in one space dimension. The mathematical model consists of a system of nonlinear partial differential equations and a free boundary. It is quite general and can include a large variety of special situations. An existence and uniqueness theorem is discussed and properties of solutions are given. As a numerical application, simulations for a heterotrophic–autotrophic competition are developed by the method of characteristics. |
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