Journal
NONLINEAR DYNAMICS
Volume 90, Issue 4, Pages 2239-2251Publisher
SPRINGER
DOI: 10.1007/s11071-017-3431-3
Keywords
Differential equations; Hopf bifurcation; Prey-predator model; Time delay
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The present paper considers a generalized prey-predator model with time delay. It studies the stability of the nontrivial positive equilibrium and the existence of Hopf bifurcation for this system by choosing delay as a bifurcation parameter and analyzes the associated characteristic equation. The researcher investigates the direction of this bifurcation by using an explicit algorithm. Eventually, some numerical simulations are carried out to support the analytical results.
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