Bifurcation analysis in a time-delay model for prey–predator growth with stage-structure |
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Authors: | Ying Qu Junjie Wei |
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Institution: | (1) Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R. China |
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Abstract: | A time-delay model for prey–predator growth with stage-structure is considered. At first, we investigate the stability and
Hopf bifurcations by analyzing the distribution of the roots of associated characteristic equation. Then, an explicit formula
for determining the stability and the direction of periodic solutions bifurcating from Hopf bifurcations is derived, using
the normal form theory and center manifold argument. Finally, some numerical simulations are carried out for supporting the
analytic results. |
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Keywords: | Prey– predator Time-delay Hopf bifurcation Periodic solution |
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