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• W3040736616 abstract "In this paper, an SIR model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size of the populations differs in space. The use of local spatial dependence yields a system of integro-differential equations. The uniqueness and qualitative properties of the continuous model are analyzed. Furthermore, different choices of spatial and temporal discretizations are employed, and step-size restrictions for population conservation, positivity, and monotonicity preservation of the discrete model are investigated. We provide sufficient conditions under which high order numerical schemes preserve the discrete properties of the model. Computational experiments verify the convergence and accuracy of the numerical methods." @default.
• W3040736616 created "2020-07-16" @default.
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• W3040736616 date "2019-09-03" @default.
• W3040736616 modified "2023-09-27" @default.
• W3040736616 title "High order discretizations for spatial dependent SIR models" @default.
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