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On the well-posedness of a certain model with two kernels appearing in the mathematical biology.
Z. Angew. Math. Phys. 77, 14:299 (2026)
The work is devoted to establishing the global well-posedness in of the integro-differential problem involving the two nonlocal terms describing the diffusion and the production in the biological system in the presence of the transport term. Such scalar equation with two nonlocal operators appears when we are dealing with a highly mobile airborne pathogen versus a slower contact-based pathogen (see Remark 2.2). The proof is based on a fixed point technique.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Global Well-posedness ; Integro-differential Equations ; Nonlocal Diffusion ; Cell Population Dynamics ; Transport Term ; Fixed Point Theorems ; Mathematical Biology; Reaction-diffusion Equations; Traveling-waves; Propagation; Attractor; Emergence; Dynamics; Entropy
ISSN (print) / ISBN
0044-2275
e-ISSN
1420-9039
Zeitschrift
Zeitschrift fur Angewandte Mathematik und Physik
Quellenangaben
Band: 77,
Heft: 11,
Seiten: 14,
Artikelnummer: 299
Verlag
Springer
Verlagsort
Gewerbestrasse 11, Cham, Ch-6330, Switzerland
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)
Förderungen
natural sciences and engineering research council of canada