New cancer therapies, methods and protocols are needed to treat affected patients. Oncolytic viral therapy is a good suggestion for such treatment. This paper proposes a diffusive cancer model with virotherapy and an immune response. This work aims to study the aforementioned model while theoretically including positivity, boundedness and stability, as well as to find the analytical solutions. The analytical solutions are found by using the tanh-expansion method. As a result, we realized that the relative immune cell killing rate can be controlled by the viral burst size. The viral burst size is the number of viruses released from each infected cell during cell lysis. The increasing diffusion of the activated immune system leads to an increase in the uninfected cells. The presented model can be used to study the combination of immunotherapy and virotherapy.
Citation: Noufe H. Aljahdaly, Nouf A. Almushaity. A diffusive cancer model with virotherapy: Studying the immune response and its analytical simulation[J]. AIMS Mathematics, 2023, 8(5): 10905-10928. doi: 10.3934/math.2023553
New cancer therapies, methods and protocols are needed to treat affected patients. Oncolytic viral therapy is a good suggestion for such treatment. This paper proposes a diffusive cancer model with virotherapy and an immune response. This work aims to study the aforementioned model while theoretically including positivity, boundedness and stability, as well as to find the analytical solutions. The analytical solutions are found by using the tanh-expansion method. As a result, we realized that the relative immune cell killing rate can be controlled by the viral burst size. The viral burst size is the number of viruses released from each infected cell during cell lysis. The increasing diffusion of the activated immune system leads to an increase in the uninfected cells. The presented model can be used to study the combination of immunotherapy and virotherapy.
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Noufe H. Aljahdaly, Nouf A. Almushaity. A diffusive cancer model with virotherapy: Studying the immune response and its analytical simulation[J]. AIMS Mathematics, 2023, 8(5): 10905-10928. doi: 10.3934/math.2023553
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