Abstract
Leukemia is a cancerous and progressive disease that affects the myeloid and lymphoid cells of the bone marrow. It causes a lot of problems for families, patients as well as the healthcare systems around the world. This study investigated how adoptive T - cell therapy affects the growth of coexistence of Acute Myelogenous Leukemia (AML) and Chronic Lymphocytic Leukemia (CLL) in a single patient. The methodology involves the development of both classical and fractional differential systems to analyze the coexistence of CLL and AML in a single patient. The numerical simulations were also performed to confirm the results of the analysis. The studies showed that the concentration levels of both types of leukemia cells were very high before the introduction of immunotherapy of the adoptive T cells. The disease free and endemic equilibrium points were proved to be globally asymptotically stable
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