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Dynamics and Bifurcations in Filippov Type of Competitive and Symbiosis Systems.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2022, Vol. 32 Issue 13, p1-21. 21p. - Publication Year :
- 2022
-
Abstract
- Filippov systems have found applications in various fields. This paper mainly studies five Lotka–Volterra models of Filippov type, including a competitive system with linear interaction between two species, a competitive system with Holling type II or type III functional response and a symbiosis system with Holling type II or type III functional response. We investigate the stability of all equilibria and the boundary equilibrium bifurcations of these systems, either a persistence bifurcation or a nonsmooth fold bifurcation. We present the numerical simulation results for each case. Consequently, based on both theory and simulation, we analyze the ecological aspects under the intervention of harvesting at different prescribed thresholds. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMBIOSIS
*LINEAR systems
*HARVESTING
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 32
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 160003448
- Full Text :
- https://doi.org/10.1142/S0218127422501905