Optimal control of a basic model of oncolytic virotherapy

Volume 24, Issue 2, pp 119--126 http://dx.doi.org/10.22436/jmcs.024.02.03

Publication Date: January 21, 2021 Submission Date: August 13, 2020 Revision Date: November 21, 2020 Accteptance Date: December 17, 2020

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Authors

Abdullah Abu-Rqayiq - Department of Mathematics \(\&\) Statistics, Texas A\(\&\)M University, Corpus Christi, Texas 78412, U.S.A.. Haneen Alayed - Department of Mathematical Sciences, New Mexico State University, Las Cruces 88003, U.S.A.. Mohammad Zannon - Department of Mathematics \(\&\) Statistics, Tafilah Technical University, At-Tafilah, Jordan.

Abstract

This paper applies an optimal control approach to study the dynamics of a basic Oncolytic Virotherapy model. This study applies mathematical modeling based on an established basic oncolytic virotherapy model for tumor growth. Choosing an appropriate control strategy is essential to reduce the cost of the therapy. By applying optimal control theory, we seek to minimize the cost of virotherapy and reduce the load of tumor cells. The existence of optimal control is proved. State solution given an optimal strategy and the optimal control is determined. Numerical simulation is carried out to visualize and support our results.

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Keywords

• Oncolytic virotherapy
• optimal control
• tumor cells
• hamiltonian

MSC

•  92C50
•  93A30
•  37N35
•  34K28

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