Numerical solution for an extended multi-mutation and drug resistance model

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Kolade, Mathew Owolabi
Kailash, Chandra Patidar
Shikongo, Albert

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Strathmore University

Abstract

In this study, we extend a model that expresses intrinsic drug resistances to include SBS time required for mutation rate to take place and spatial effects of the involved cells. Furthermore, we show that the local stability condition(s) are (is) global stable. Since it is not that easy to solve the extended model analytically, we derive, analyze, implement, present a numerical solution and compare it with the solution of the original model.

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Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya

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