Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease (Q634659)
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scientific article; zbMATH DE number 5939419
| Language | Label | Description | Also known as |
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| English | Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease |
scientific article; zbMATH DE number 5939419 |
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Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease (English)
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16 August 2011
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The paper concerns a mathematical model describing the spatial propagation of an epidemic disease through a population. The pathogen diversity is structured here into two clusters and then the population is divided into eight classes which permits to distinguish between the infected/uninfected population with respect to clusters. Some weak and the global existence results of the solutions for the considered reaction-diffusion system with Neumann boundary condition are proved. Next, a mathematical Turing formulation and numerical simulations are introduced to show the pattern formation for such systems.
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numerical schemes
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Neumann boundary conditions
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