Hopf bifurcation in a delayed reaction-diffusion-advection population model

By Shanshan Chen, Yuan Lou, Junjie Wei. 2017

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In this paper, we investigate a reaction-diffusion-advection model with time delay effect. The stability/instability of the spatially nonhomogeneous positive steady state and the associated Hopf bifurcation are investigated when the given parameter of the model is near the principle eigenvalue of an elliptic operator. Our result implies that time delay can make the spatially nonhomogeneous positive steady state unstable for a reaction-diffusion-advection model, and the model can exhibit oscillatory pattern through Hopf bifurcation.

Subfields: Genetics, Mathematical Physics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/dfec1c3d123edef120d4881e850efcd9fc2d96ba