Darboux Integrability Of the Biological System

In the given paper, we investigate the integrability of a mathematical model of a 3D biological system. Our results show that the system admits a polynomial first integrals for some parameters, an invariant algebraic surface with an exponential factor, and Darboux first integral. The proof was realized with the help of weight homogeneous polynomials. A model combining virus therapy and chemotherapy holds promise for improving the efficacy of cancer treatments. Virus therapy can target and destroy cancer cells, while chemotherapy can enhance the immune response and sensitize the tumor to viral therapy.

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Journal
Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematics
Published
2025-12-25
DOI
https://doi.org/10.33899/rjcsm.v19i2.60318
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
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article

Darboux Integrability Of the Biological System

Zakariya Hashem Ali, Ahmad Muhamad Husien
Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematics
Advanced Differential Equations and Dynamical Systems
article

Darboux Integrability Of the Biological System

Zakariya Hashem Ali, Ahmad Muhamad Husien
article en

Abstract

In the given paper, we investigate the integrability of a mathematical model of a 3D biological system. Our results show that the system admits a polynomial first integrals for some parameters, an invariant algebraic surface with an exponential factor, and Darboux first integral. The proof was realized with the help of weight homogeneous polynomials. A model combining virus therapy and chemotherapy holds promise for improving the efficacy of cancer treatments. Virus therapy can target and destroy cancer cells, while chemotherapy can enhance the immune response and sensitize the tumor to viral therapy.

Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematicsVol. 19(2)
University of Duhok (IQ)
Openalex Percentile: Top 20%
Advanced Differential Equations and Dynamical Systems
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