Mathematical and Computational BiologyOpen Access

NUMERICAL SOLUTION OF TUMOR-IMMUNE INTERACTION USING 2-POINT BLOCK BACKWARD DIFFERENTIATION METHOD

Institute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

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ZARINA BIBI IBRAHIM

Institute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

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MOHAMED SULEIMAN

Institute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

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K. I. OTHMAN

Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor Darul Ehsan, Malaysia

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, and

YONG FAEZAH RAHIM

Institute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

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https://doi.org/10.1142/S2010194512005326Cited by:2 (Source: Crossref)

Abstract

In this paper, we consider tumor-immune interaction model systems. The numerical solutions for the tumor-immune interaction system are obtained by using the 2-point Block Backward Differentiation Formula (BBDF) methods developed by Zarina et al. in 2007. The numerical results are presented in terms of computational time and accuracy of the solutions.

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References

C. DeLisi and A. Rescigno, Bull. Math. Biol. 39, 201 (1977). Google Scholar
D. Kirschner and J. C. Panetta, J. Math. Biol. 37, 235 (1998). Crossref, Google Scholar
J. A. Adam, Mathl. Comput. Modelling 23(6), 1 (1996). Crossref, Google Scholar
K. I. Othman, Z. B. Ibrahim and M. B. Suleiman, World Academy of Science, Engineering and Technology 40, 54 (2008). Google Scholar
M. B. Suleiman, Appl. Math. Comput. 33(3), 197 (1989). Google Scholar
M. T. Chu and H. Hamilton, Siam J. Sci. Stat. Comput. 8(3), 342 (1987). Crossref, Google Scholar
R. J. DeBoeret al., The Journal of Immunology 134(4), 2748 (1985). Crossref, Google Scholar
S. O. Fatunla, International Journal of Computer Mathematics 41(1), 55 (1991). Crossref, Google Scholar
V. A. Kuznetsovet al., Bull. Math. Biol. 56(2), 295 (1994). Crossref, Google Scholar
Z. A. Majid and M. B. Suleiman, Chiang Mai J. Sci. 33(2), 153 (2006). Google Scholar
Z. B. Ibrahim, K. I. Othman and M. B. Suleiman, Applied Mathematics and Computation 186, 558 (2007). Crossref, Google Scholar
Z. Omar and M. B. Suleiman, Journal of ICT 3(1), 53 (2003). Google Scholar