P. Veeresha1, Esin Ilhan2, D. G. Prakasha3, Haci Mehmet Baskonus4, Wei Gao5,*
CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.3, pp. 1013-1036, 2021, DOI:10.32604/cmes.2021.014988
Abstract In this paper, we analyze the behaviour of solution for the system exemplifying model of tumour invasion and
metastasis by the help of q-homotopy analysis transform method (q-HATM) with the fractional operator. The
analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the
migratory response of the degradation of the matrix, tumour cells and production of degradative enzymes by
the tumour cells. The considered method is graceful amalgamations of q-homotopy analysis technique with Laplace
transform (LT), and Caputo–Fabrizio (CF) fractional operator is hired in the present study. By using the fixed point
theory, existence… More >
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