English

Limit cycle bifurcations of a reduced Topp system

Quantitative Methods 2019-04-11 v1 Dynamical Systems

Abstract

In this paper, we carry out a global qualitative analysis of a reduced planar quartic Topp system which models the dynamics of diabetes. In particular, studying global bifurcations, we prove that such a system can have at most two limit cycles.

Keywords

Cite

@article{arxiv.1904.05311,
  title  = {Limit cycle bifurcations of a reduced Topp system},
  author = {Valery A. Gaiko},
  journal= {arXiv preprint arXiv:1904.05311},
  year   = {2019}
}

Comments

14 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1504.03353, arXiv:1104.3019, arXiv:0902.2433