Document Type

Article

Source of Publication

Mathematical Biosciences and Engineering

Publication Date

1-1-2023

Abstract

Herein, we discuss an optimal control problem (OC-P) of a stochastic delay differential model to describe the dynamics of tumor-immune interactions under stochastic white noises and external treatments. The required criteria for the existence of an ergodic stationary distribution and possible extinction of tumors are obtained through Lyapunov functional theory. A stochastic optimality system is developed to reduce tumor cells using some control variables. The study found that combining white noises and time delays greatly affected the dynamics of the tumor-immune interaction model. Based on numerical results, it can be shown which variables are optimal for controlling tumor growth and which controls are effective for reducing tumor growth. With some conditions, white noise reduces tumor cell growth in the optimality problem. Some numerical simulations are conducted to validate the main results.

ISSN

1547-0018

Publisher

American Institute of Mathematical Sciences (AIMS)

Volume

20

Issue

11

First Page

19270

Last Page

19299

Disciplines

Medicine and Health Sciences

Keywords

tumor-immure interactions, optimal control, stochastic noise, stationary distribution, time-delays

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Indexed in Scopus

no

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

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