Regarding on the fractional mathematical model of tumour invasion and metastasis

Title

Regarding on the fractional mathematical model of tumour invasion and metastasis

Creator

Veeresha P.; Ilhan E.; Prakasha D.G.; Baskonus H.M.; Gao W.

Description

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 techniquewith Laplace transform(LT), and Caputo-Fabrizio (CF) fractional operator is hired in the present study. By using the fixed point theory, existence and uniqueness are demonstrated. To validate and present the effectiveness of the considered algorithm, we analyzed the considered system in terms of fractional order with time and space. The error analysis of the considered scheme is illustrated. The variations with small change time with respect to achieved results are effectively captured in plots. The obtained results confirm that the considered method is very efficient and highly methodical to analyze the behaviors of the system of fractional order differential equations. 2021 Tech Science Press. All rights reserved.

Source

CMES - Computer Modeling in Engineering and Sciences, Vol-127, No. 3, pp. 1013-1036.

Date

2021-01-01

Publisher

Tech Science Press

Subject

Caputo-Fabrizio derivative; Invasion and metastasis; Q-homotopy analysis transform method; Tumour cell

Coverage

Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Ilhan E., Faculty of Engineering and Architecture, Kirsehir Ahi Evran University, Kirsehir, 40500, Turkey; Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577007, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, 63050, Turkey; Gao W., School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China

Rights

All Open Access; Gold Open Access

Relation

ISSN: 15261492

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.32604/cmes.2021.014988

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