Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal
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AbstractIn this paper, we investigate a delay reaction–diffusion–advection model with ideal free dispersal. The stability of positive steady-state solutions and the existence of the associated Hopf bifurcation are obtained by analyzing the principal eigenvalue of an elliptic operator. By the normal form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic solutions are obtained. Moreover, numerical simulations and a brief discussion are presented to illustrate our theoretical results.
2019 ◽
Vol 29
(11)
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pp. 1950144
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2013 ◽
Vol 23
(12)
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pp. 1350194
2004 ◽
Vol 14
(11)
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pp. 3909-3919
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2013 ◽
Vol 2013
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pp. 1-9
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2006 ◽
Vol 2006
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pp. 1-29
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