Photo by thinkmagically from unsplash
Abstract In this paper, we established a fractional-order logistic model for a monoclonal brain tumor growth known as Glioblastoma (GB). We show at first that the model possesses non-negative solutions.… Click to show full abstract
Abstract In this paper, we established a fractional-order logistic model for a monoclonal brain tumor growth known as Glioblastoma (GB). We show at first that the model possesses non-negative solutions. Furthermore, we studied the stability, existence, and uniqueness of the constructed model. To investigate the case for the extinction of the tumor population, we consider the Allee threshold. By using the center manifold theorem and bifurcation theory, we show that the model undergoes flip bifurcation. The numerical results support the theoretical study.
Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!