Title: Liouvillian and global analytic first integrals for mathematical model of virus therapy for cancer

Authors: Azad I. Amen; Wirya M. Ramadhan

Addresses: Department of Mathematics, College of Basic Education, Salahaddin University – Erbil, Iraq; Department of Mathematics, Basic Education College, Raparin University, Ranya, Iraq; Department of Mathematics, Faculty of Science, Soran University, Soran, Erbil, Iraq; Department of Mathematics, College of Science, Duhok University, Iraq ' Department of Mathematics, College of Basic Education, Salahaddin University, Erbil, Iraq

Abstract: In this paper, we focus for mathematical model of virus therapy for cancer which is described by two-dimensional system of nonlinear ordinary differential equations with six real parameters. This system appears in replicating oncolytic viruses as therapeutic agents against cancers. We characterise all global analytic first integrals with explicit expressions and Liouvillian first integrals of the system.

Keywords: virus therapy for cancer model; global analytic first integral; Liouvillian first integral; invariant algebraic curve.

DOI: 10.1504/IJDSDE.2023.135024

International Journal of Dynamical Systems and Differential Equations, 2023 Vol.13 No.3, pp.231 - 243

Received: 29 Sep 2022
Accepted: 12 May 2023
Published online: 27 Nov 2023 *

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