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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Forum D'Analystes, Chennai
- Subject
- Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
- ISSN
- 0971-3611
- eISSN
- 2367-2501
- DOI
- 10.1007/s41478-018-0092-7
- Publisher site
- See Article on Publisher Site
Abstract
Herein, we propose a fractional-order prey–predator dynamical system with Beddington–DeAngelis type functional response and time-delay. We study the existence of various equilibrium points, and sufficient conditions that ensure the local asymptotic stability of the steady states of such system. The system shows a Hopf-bifurcation which depends on the time-delay. The presence of fractional-order and time-delay in the differential model improves the stability of the solutions and enriches the dynamics of the model. Some numerical examples and simulations are provided to validate the derived theoretical results.
Journal
The Journal of Analysis – Springer Journals
Published: May 23, 2018