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

dc.contributor.advisor
dc.contributor.authorKolade, Owolabi
dc.contributor.authorKailash, Patidar
dc.contributor.authorShikongo, Albert
dc.date.accessioned2020-06-04T13:06:00Z
dc.date.available2020-06-04T13:06:00Z
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.description.urihttps://doi.org/10.28919/cmbn/3865
dc.identifier.citationKolade, M. et al. 2018. Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application. Commun. Math. Biol. Neurosci. 2018:21. doi: https://doi.org/10.28919/cmbn/3865en_US
dc.identifier.issn2052-2541
dc.identifier.urihttp://hdl.handle.net/10566/5215
dc.identifier.urihttps://doi.org/10.28919/cmbn/3865
dc.language.isoenen_US
dc.publisherTianjin Polytechnic Universityen_US
dc.subjectAnti-angiogenic therapyen_US
dc.subjectCytotoxic therapyen_US
dc.subjectStability analysisen_US
dc.subjectMathematical modellingen_US
dc.titleMathematical analysis and numerical simulation of a tumor-host model with chemotherapy applicationen_US
dc.typeArticleen_US

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