Dukuza, Kenneth2023-05-052023-05-052022-06Dukuza, K. 2022, 'Chaos in a discrete cancer model', Journal of Applied Nonlinear Dynamics, vol. 11, no. 2, pp. 297-308, doi : 10.5890/JAND.2022.06.003.2164-6457 (print)2164-6473 (online)10.5890/JAND.2022.06.003http://hdl.handle.net/2263/90560In 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© 2022 L&H Scientific Publishing, LLC. All rights reserved.Cancer modelLyapunov exponentsLyapunov stability theoremNonstandard finite difference methodPostprint Article