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
AbstractIn 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.
|Journal series||Chaos, ISSN 1054-1500, e-ISSN 1089-7682, (N/A 140 pkt)|
|Publication size in sheets||0.75|
|ASJC Classification||; ; ;|
|Internal identifier||ROC 19-20|
|Score||= 140.0, 26-03-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 1.134; : 2018 = 2.643 (2) - 2018=2.655 (5)|
|Citation count*||31 (2020-04-05)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.