A numerical study of fractional order population dynamics model
In this paper, the population dynamics model including the predator-prey problem and the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio derivative (CF-derivative). The models under study include of fractional Lotka-Volterra model (FLVM), fractional predator...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721005714 |
| _version_ | 1818897117508272128 |
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| author | H. Jafari R.M. Ganji N.S. Nkomo Y.P. Lv |
| author_facet | H. Jafari R.M. Ganji N.S. Nkomo Y.P. Lv |
| author_sort | H. Jafari |
| collection | DOAJ |
| description | In this paper, the population dynamics model including the predator-prey problem and the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio derivative (CF-derivative). The models under study include of fractional Lotka-Volterra model (FLVM), fractional predator-prey model (FPPM) and fractional logistic model of population growth (FLM-PG) with variable coefficients. After that a numerical scheme is presented to obtain numerical solutions of these fractional models. These solutions are made using three-step Adams-Bashforth scheme. To show the efficiency and the accuracy of the present scheme, a few examples are evaluated. The numerical simulations of the results are depicted the accuracy of the present scheme. |
| first_indexed | 2024-12-19T19:11:05Z |
| format | Article |
| id | doaj.art-359cf741586f4cf3bcbad96543388c54 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T19:11:05Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-359cf741586f4cf3bcbad96543388c542022-12-21T20:09:18ZengElsevierResults in Physics2211-37972021-08-0127104456A numerical study of fractional order population dynamics modelH. Jafari0R.M. Ganji1N.S. Nkomo2Y.P. Lv3Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran; Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, TaiwanDepartment of Applied Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematical Sciences, University of South Africa, UNISA0003, South AfricaDepartment of Mathematics, Huzhou University, Huzhou 313000, PR China; Corresponding author.In this paper, the population dynamics model including the predator-prey problem and the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio derivative (CF-derivative). The models under study include of fractional Lotka-Volterra model (FLVM), fractional predator-prey model (FPPM) and fractional logistic model of population growth (FLM-PG) with variable coefficients. After that a numerical scheme is presented to obtain numerical solutions of these fractional models. These solutions are made using three-step Adams-Bashforth scheme. To show the efficiency and the accuracy of the present scheme, a few examples are evaluated. The numerical simulations of the results are depicted the accuracy of the present scheme.http://www.sciencedirect.com/science/article/pii/S2211379721005714Caputo-Fabrizio derivativeFractional predator-prey modelFractional logistic modelThree-step Adams-Bashforth schemeNumerical simulations |
| spellingShingle | H. Jafari R.M. Ganji N.S. Nkomo Y.P. Lv A numerical study of fractional order population dynamics model Results in Physics Caputo-Fabrizio derivative Fractional predator-prey model Fractional logistic model Three-step Adams-Bashforth scheme Numerical simulations |
| title | A numerical study of fractional order population dynamics model |
| title_full | A numerical study of fractional order population dynamics model |
| title_fullStr | A numerical study of fractional order population dynamics model |
| title_full_unstemmed | A numerical study of fractional order population dynamics model |
| title_short | A numerical study of fractional order population dynamics model |
| title_sort | numerical study of fractional order population dynamics model |
| topic | Caputo-Fabrizio derivative Fractional predator-prey model Fractional logistic model Three-step Adams-Bashforth scheme Numerical simulations |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721005714 |
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