Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 27, Issue 7, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812741750105X
Keywords
Cross-diffusion; Lyapunov-Schmidt reduction; Hopf bifurcation; steady-state solution
Funding
- Natural Science Foundation of China [11671123]
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This paper focuses on a Lotka-Volterra model with delay and cross-diffusion. By using Lyapunov-Schmidt reduction, we investigate the existence, multiplicity, stability and Hopf bifurcation of spatially nonhomogeneous steady-state solutions. Furthermore, we obtain some criteria to determine the bifurcation direction and stability of Hopf bifurcating periodic orbits by using Lyapunov-Schmidt reduction.
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