HOPF BIFURCATION AND STABILITY ANALYSIS FOR A STAGE-STRUCTURED SYSTEM
2010 ◽
Vol 03
(01)
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pp. 21-41
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Keyword(s):
In this paper, we considered a time-delay predator–prey system, in which the prey has two life stages, juvenile and mature. Delay was regarded as the bifurcation parameter, we analyzed the characteristic equation of the system at the positive equilibrium, stability of the positive equilibrium and existence of Hopf bifurcation with delay τ in the term of degree are investigated. The explicit formulae which determine the direction of the bifurcations, stability, and other properties of the bifurcating periodic solutions are given by using the normal form theory and center manifold theorem. To verify our theoretical results, a numerical example is also included.
Keyword(s):
2013 ◽
Vol 2013
◽
pp. 1-9
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2018 ◽
Vol 19
(6)
◽
pp. 561-571
Keyword(s):
2013 ◽
Vol 23
(12)
◽
pp. 1350194
2016 ◽
Vol 2016
◽
pp. 1-21
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