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

Alexandria Engineering Journal

Albert Shikongo¹  Kolade M. Owolabi² 

[1] Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa;Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;

关键词: Fractional operator;    Cancer conjoint cell growth;    Chemotherapy;    Drug resistance;    Stability analysis;    Numerical method;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown