Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus
- Title
- Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus
- Creator
- Veeresha P.; Prakasha D.G.; Baishya C.; Baskonus H.M.
- Description
- The pivotal aim of the present study is to find the solution for a nonlinear system describing the aggregation process of cellular slime mold by using (Formula presented.) -homotopy analysis transform method. The coupled system is considered within the frame of the Caputo fractional operator. We examine three different cases with distinct values of sensitivity function (Formula presented.), (Formula presented.) and (Formula presented.) to exemplify the efficiency and applicability of the considered scheme. We capture the nature of the obtained results with respect to the fractional order, with distinct initial conditions, and illustrate them using 2D and 3D plots for particular values of the parameters. The considered scheme offers parameters, which help to adjust the convergence region, and we plotted the ?-curves to dissipate the effect in the present framework. Moreover, some simulating and important behavior of the considered model using attained results shows the prominence of the hired operator while analyzing the coupled equations and confirms the competence of the projected scheme. 2023 Informa UK Limited, trading as Taylor & Francis Group.
- Source
- International Journal of Modelling and Simulation
- Date
- 2023-01-01
- Publisher
- Taylor and Francis Ltd.
- Subject
- -homotopy analysis method; Caputo derivative; KellerSegel model; Laplace transform
- Coverage
- Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Prakasha D.G., Department of Mathematics, Davangere University, Davangere, India; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey
- Rights
- Restricted Access
- Relation
- ISSN: 2286203; CODEN: IMSIE
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Veeresha P.; Prakasha D.G.; Baishya C.; Baskonus H.M., “Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/14555.