This paper discusses the fractional order breast cancer competition model (F-BCCM), which considers population dynamics among cancer stem, tumor and healthy cells, as well as the effects of excess estrogen and the body’s natural immune response on the cell populations. Generalized shifted Legendre polynomials and their operational matrices are presented in the scope of a general procedure for the solution of the F-BCCM. The application of the Lagrange multipliers method transforms the F-BCCM into a system of algebraic equations. Additionally, the convergence analysis of the method and two illustrative numerical examples complement the study.
Mathematics Subject Classification: 97M60; 41A58; 92C42.
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This preprint is available for download as a PDF.
No competing interests reported.
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Posted 06 Mar, 2021
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Posted 06 Mar, 2021
On 12 Apr, 2021
On 12 Apr, 2021
On 12 Apr, 2021
On 12 Apr, 2021
Invitations sent on 12 Apr, 2021
On 12 Apr, 2021
On 02 Mar, 2021
On 02 Mar, 2021
On 01 Mar, 2021
This paper discusses the fractional order breast cancer competition model (F-BCCM), which considers population dynamics among cancer stem, tumor and healthy cells, as well as the effects of excess estrogen and the body’s natural immune response on the cell populations. Generalized shifted Legendre polynomials and their operational matrices are presented in the scope of a general procedure for the solution of the F-BCCM. The application of the Lagrange multipliers method transforms the F-BCCM into a system of algebraic equations. Additionally, the convergence analysis of the method and two illustrative numerical examples complement the study.
Mathematics Subject Classification: 97M60; 41A58; 92C42.
Figure 1
Figure 2
Figure 3
Figure 4
This preprint is available for download as a PDF.
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