Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay

Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay

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In this paper, we investigate a reaction-diffusive-advection two-species competition model with one delay and Dirichlet boundary conditions.The existence and multiplicity Miele DA3496 89 cm Canopy Cooker Hood - Stainless Steel of spatially non-homogeneous steady-state solutions are obtained.The stability of spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcation with the changes of the time delay are obtained by analyzing the distribution of eigenvalues of the infinitesimal generator associated with the linearized system.

By the normal ULTRA-SLEEK SHAMPOO form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic orbits are derived.Finally, numerical simulations are given to illustrate the theoretical results.