2015/03/25 by Ariane Trescases, Trescases, Ariane
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #35K51 #35K55 #35K57 #35Q92 #92D25 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #math.AP #msc:35K51 #msc:35K55 #msc:35K57 #msc:35Q92 #msc:92D25
paper · pdf · doi:10.48550/arxiv.1503.07468
22 pages
arxiv created 2015/03/25 · openalex publication_date 2015/03/25 · arxiv updated 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present new results of existence of global solutions for a class of reaction cross-diffusion systems of two equations presenting a cross-diffusion term in the first equation, and possibly presenting a self-diffusion term in any (or both) of the two equations. This class of systems arises in Population Dynamics, and notably includes the triangular SKT system. In particular, we recover and extend existing results for the triangular SKT system. Our proof relies on entropy and duality methods.