# Limit cycle bifurcations of a reduced Topp system

## TL;DR

This paper provides a global qualitative analysis of a reduced Topp system modeling diabetes dynamics, establishing that it can have at most two limit cycles through bifurcation analysis.

## Contribution

It proves that the reduced Topp system can have at most two limit cycles, advancing understanding of its bifurcation structure.

## Key findings

- The system can have at most two limit cycles.
- Global bifurcation analysis was conducted.
- Insights into diabetes modeling dynamics.

## 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.