A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

D. Baleanu , A. Jajarmi , S. S. Sajjadi , Dorota Mozyrska


In this paper, we present a new fractional-order mathematical model for a tumor-immune surveillance mechanism. We analyze the interactions between various tumor cell populations and immune system via a system of fractional differential equations (FDEs). An efcient numerical procedure is suggested to solve these FDEs by considering singular and nonsingular derivative operators. An optimal control strategy for investigating the effect of chemotherapy treatment on the proposed fractional model is also provided. Simulation results show that the new presented model based on the fractional operator with Mittag–Leffer kernel represents various asymptomatic behaviors that tracks the real data more accurately than the other fractional- and integer-order models. Numerical simulations also verify the effciency of the proposed optimal control strategy and show that the growth of the naive tumor cell population is successfully declined.
Author D. Baleanu
D. Baleanu,,
, A. Jajarmi
A. Jajarmi,,
, S. S. Sajjadi
S. S. Sajjadi,,
, Dorota Mozyrska (FCS / DM)
Dorota Mozyrska,,
- Department of Mathematics
Journal seriesChaos, ISSN 1054-1500, e-ISSN 1089-7682, (N/A 140 pkt)
Issue year2019
Publication size in sheets0.75
ASJC Classification2604 Applied Mathematics; 2610 Mathematical Physics; 3100 General Physics and Astronomy; 3109 Statistical and Nonlinear Physics
Internal identifierROC 19-20
Languageen angielski
Score (nominal)140
Score sourcejournalList
ScoreMinisterial score = 140.0, 26-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.134; WoS Impact Factor: 2018 = 2.643 (2) - 2018=2.655 (5)
Citation count*31 (2020-04-05)
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