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Computational study of noninteger order system of predation.
- Source :
-
Chaos . Jan2019, Vol. 29 Issue 1, pN.PAG-N.PAG. 14p. 7 Graphs. - Publication Year :
- 2019
-
Abstract
- In this paper, we analyze the stability of the equilibrium point and Hopf bifurcation point in the three-component time-fractional differential equation, which describes the predator-prey interaction between different species. In the dynamics, the classical first-order derivative in time is modelled by either the Caputo or the Atangana-Baleanu fractional derivative of order α , 0 < α < 1. We utilized a fractional version of the Adams-Bashforth formula to discretize these fractional derivatives in time. The results of the linear stability analysis presented are confirmed by computer simulation results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10541500
- Volume :
- 29
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Chaos
- Publication Type :
- Academic Journal
- Accession number :
- 134425327
- Full Text :
- https://doi.org/10.1063/1.5079616