A note on the periodic orbits of Wolbachia spread dynamics in mosquito populations in periodic environments

Authors

• Jose S. CÁNOVASFollow

Author ORCID Identifier

Jose S. CÁNOVAS: 0000-0002-2854-5833

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.

DOI

10.55730/1300-0098.3773

Keywords

Mosquito-borne diseases, nonautonomous discrete model, periodic solutions, cyclic environments

First Page

902

Last Page

912

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

CÁNOVAS, J (2026). A note on the periodic orbits of Wolbachia spread dynamics in mosquito populations in periodic environments. Turkish Journal of Mathematics 50 (5): 902-912. https://doi.org/10.55730/1300-0098.3773