Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application

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dc.contributor.authorOwolab, Kolade M.
dc.contributor.authorPatidar, Kailash C.
dc.contributor.authorShikongo, Albert
dc.date.accessioned2019-08-15T12:16:06Z
dc.date.available2019-08-15T12:16:06Z
dc.date.issued2018
dc.description.abstractIn this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady state of the anti-angiogenic therapy, baseline therapy and anti-cytotoxic therapy models as well as their local stability condition. We use the method of upper and lower solutions to show that the steady states are globally stable. Since the system of non-linear quasi-parabolic partial differential cannot be solved analytically, we formulate a robust numerical scheme based on the semi-fitted finite difference operator. Analysis of the basic properties of the method shows that it is consistent, stable and convergent. Our numerical results are in agreement with our theoretical findings.en_US
dc.identifier.citationKolade M. Owolabi, Kailash C. Patidar, Albert Shikongo, Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 21en_US
dc.identifier.issn2052-2541
dc.identifier.urihttp://hdl.handle.net/10566/4778
dc.language.isoenen_US
dc.publisherCommunications in Mathematical Biology and Neuroscienceen_US
dc.subjectAnti-angiogenic therapyen_US
dc.subjectCytotoxic therapyen_US
dc.subjectFitted operator numerical methodsen_US
dc.subjectStability analysisen_US
dc.titleMathematical analysis and numerical simulation of a tumor-host model with chemotherapy applicationen_US
dc.typeArticleen_US

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