Chaos in a discrete cancer model

We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.

Show simple item record

dc.contributor.author Dukuza, Kenneth
dc.date.accessioned 2023-05-05T07:04:02Z
dc.date.available 2023-05-05T07:04:02Z
dc.date.issued 2022-06
dc.description.abstract In this paper, we construct and analyse a discrete cancer mathematical model. Essential dynamic properties such as positivity and boundedness of solutions are discussed. Using the Lyapunov stability theorem, we prove that one of the tumor-free equilibria is globally asymptotically stable. Furthermore, the discrete model exhibits chaos for certain parameter values and this is supported by the existence of a positive Lyapunov exponent. Numerical simulations are performed to demonstrate our analytical results. en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian hj2023 en_US
dc.description.uri https://lhscientificpublishing.com/Journals/JAND-Default.aspx en_US
dc.identifier.citation Dukuza, K. 2022, 'Chaos in a discrete cancer model', Journal of Applied Nonlinear Dynamics, vol. 11, no. 2, pp. 297-308, doi : 10.5890/JAND.2022.06.003. en_US
dc.identifier.issn 2164-6457 (print)
dc.identifier.issn 2164-6473 (online)
dc.identifier.other 10.5890/JAND.2022.06.003
dc.identifier.uri http://hdl.handle.net/2263/90560
dc.language.iso en en_US
dc.publisher L&H Scientific Publishing en_US
dc.rights © 2022 L&H Scientific Publishing, LLC. All rights reserved. en_US
dc.subject Cancer model en_US
dc.subject Lyapunov exponents en_US
dc.subject Lyapunov stability theorem en_US
dc.subject Nonstandard finite difference method en_US
dc.title Chaos in a discrete cancer model en_US
dc.type Postprint Article en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record