Mathematical modelling of multi-mutation and drug resistance model with fractional derivative

Autor: Kolade M. Owolabi, Albert Shikongo
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 59, Iss 4, Pp 2291-2304 (2020)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.02.014
Popis: We understand that the methods by which the therapeutic approaches with regard to drug induced resistance are still posing a big challenge, thus, we extend a model that expresses intrinsic drug resistances to include spatial effects of the involved cells, establish the physiological levels and asymptotic stability condition(s) of the equilibrium points of both models. Obviously, it is very difficult to solve the extended model analytically, therefore, we propose a well posed numerical method based on fractional derivative operator. We present our solutions for comparison purpose with regard to the stability condition.
Databáze: Directory of Open Access Journals