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Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses.
- Source :
-
International Journal of Biomathematics . Apr2024, Vol. 17 Issue 3, p1-26. 26p. - Publication Year :
- 2024
-
Abstract
- Many discrete systems have more distinctive dynamical behaviors compared to continuous ones, which has led lots of researchers to investigate them. The discrete predator–prey model with two different functional responses (Holling type I and II functional responses) is discussed in this paper, which depicts a complex population relationship. The local dynamical behaviors of the interior fixed point of this system are studied. The detailed analysis reveals this system undergoes flip bifurcation and Neimark–Sacker bifurcation. Especially, we prove the existence of Marotto's chaos by analytical method. In addition, the hybrid control method is applied to control the chaos of this system. Numerical simulations are presented to support our research and demonstrate new dynamical behaviors, such as period-10, 19, 29, 39, 48 orbits and chaos in the sense of Li–Yorke. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DISCRETE systems
*ORBITS (Astronomy)
*RESEARCH personnel
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 17
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173419479
- Full Text :
- https://doi.org/10.1142/S1793524523500286