Hopf Bifurcation in Structural Population Models
Analysis of PDEs
2018-07-25 v1
Abstract
We study a nonlinear PDE problem motivated by the peculiar patterns arising in myxobacteria, namely counter-migrating cell density waves. We rigorously prove the existence of Hopf bifurcations for some specific values of the parameters of the system. This shows the existence of periodic solutions for the systems under consideration.
Cite
@article{arxiv.1807.08897,
title = {Hopf Bifurcation in Structural Population Models},
author = {Narek Hovsepyan and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:1807.08897},
year = {2018}
}