Darboux Integrability Of the Biological System
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.
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