A note on the periodic orbits of Wolbachia spread dynamics in mosquito populations in periodic environments
Abstract
We consider the periodic model introduced by B. Zheng and J. Yu, and disprove the conjectures on the number of periodic orbits the model can have. We rebuild the conjecture to prove that for periodic sequences of maps of any period, the number of nonzero periodic trajectories is bounded by two.
Fields of Study & Subjects
Insect symbiosis and bacterial influences
Publication details
- Journal / source
- TURKISH JOURNAL OF MATHEMATICS
- Volume
- 50
- Issue
- 5
- Pages
- 902–912
- Publication date
- 1 September 2026
- Language
- EN