Abstract
We study a fractional-order delayed predator-prey model with Holling–Tanner-type functional response. Mainly, by choosing the delay time \(\tau \) as the bifurcation parameter, we show that Hopf bifurcation can occur as the delay time \(\tau \) passes some critical values. The local stability of a positive equilibrium and the existence of the Hopf bifurcations are established, and numerical simulations for justifying the theoretical analysis are also presented. doi:https://doi.org/10.1017/S1446181122000025
Keywords
Hopf bifurcation
Mathematics
Functional response
Predation
Bifurcation
Stability (learning theory)
Order (exchange)
Applied mathematics
Control theory (sociology)
Predator
Mathematical analysis
Physics
Nonlinear system
Economics
Ecology
Computer science
Biology
Subject Areas
Mathematical and Theoretical Epidemiology and Ecology Models
·Public Health, Environmental and Occupational Health ·Health Sciences
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Advanced Differential Equations and Dynamical Systems
·Geometry and Topology ·Physical Sciences
Citations by Year
2025: 2
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