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- Title
Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays.
- Authors
Xu, Changjin; Zhang, Wei; Aouiti, Chaouki; Liu, Zixin; Yao, Lingyun
- Abstract
In this study, we principally investigate a fractional‐order stage‐structured predator–prey system including distributed time delays and discrete time delays. Taking advantage of transformation of the variable, we obtain an isovalent version of the considered fractional‐order stage‐structured predator–prey system including distributed time delays and discrete time delays. The isovalent version includes fractional‐order and integer‐order equations. Utilizing the stability criterion and bifurcation theory of fractional‐order differential equation, a novel delay‐independent bifurcation condition to ensure the appearance of Hopf bifurcation for the fractional‐order stage‐structured predator–prey system is set up. The impact of time delay on the stability and bifurcation is clearly revealed. Numerical simulation figures are presented to sustain the rationality of the derived key conclusions.
- Subjects
PREDATION; BIFURCATION theory; STABILITY criterion; HOPF bifurcations; DELAY differential equations; DIFFERENTIAL equations
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 8, p9103
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9041