arXiv subjects

Yihuan Sun

Publications and source records attributed to Yihuan Sun.

2 recordsLinked to original sources

arXiv2023

Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergoes a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.

math.DS↗

arXiv2022

Stability and bifurcation in a reaction-diffusion-advection predator-prey model

A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion and advection rates are large. Moreover, we show that advection rate can affect not only the occurrence of Hopf bifurcations but also the values of Hopf bifurcations.

math.DS↗