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• W2067040311 abstract "In [19], Sighesada et al. presented a system of partial differential equations for modeling spatial segregation of interacting species. Apart from competitive Lotka–Volterra (reaction) and population pressure (cross-diffusion) terms, a convective term modeling the populations attraction to more favorable environmental regions is included. In this article, we introduce a modification of their convective term to take account for the notion of spatial adaptation of populations. After describing the model we briefly discuss its well-possedness and propose a numerical discretization in terms of a mass-preserving time semi-implicit finite differences scheme. Finally, we provide the results of two biologically inspired numerical experiments showing qualitative differences between the original model of [19] and the model proposed in this article." @default.
• W2067040311 created "2016-06-24" @default.
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• W2067040311 date "2011-12-01" @default.
• W2067040311 modified "2023-09-23" @default.
• W2067040311 title "Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem" @default.
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• W2067040311 doi "https://doi.org/10.1016/j.amc.2011.10.041" @default.
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