Mathematical modeling of Buruli ulcer spread

Mohanan, Shimi; Surulescu, Christina; Pelen, Neslihan

doi:10.1007/s12591-026-00774-0

Mathematical modeling of Buruli ulcer spread

Mohanan S. C., Surulescu C., Pelen N. N.

Differential Equations and Dynamical Systems, 2026 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2026
Doi Numarası: 10.1007/s12591-026-00774-0
Dergi Adı: Differential Equations and Dynamical Systems
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
Anahtar Kelimeler: Buruli ulcer, Cross-diffusion PDE-ODE system, Global existence, Multiscale modeling, Numerical simulations
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We propose two approaches to a model deduction for Buruli ulcer spread in a tissue, prove global existence of solutions to the obtained macroscopic cross-diffusion PDE-ODE systems, and perform numerical simulations to illustrate the behavior of solutions under various scenarios and compare the outcome of the two approaches.