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The dynamics of delayed models for interactive wild and sterile mosquito populations.
- Source :
-
International Journal of Biomathematics . Jul2023, Vol. 16 Issue 5, p1-28. 28p. - Publication Year :
- 2023
-
Abstract
- The sterile insect technique (SIT) has been applied as an alternative method to reduce or eradicate mosquito-borne diseases. To explore the impact of the sterile mosquitoes on controlling the wild mosquito populations, in this paper, we further extend the work in [J. Li, New revised simple models for interactive wild and sterile mosquito populations and their dynamics, J. Biol. Dyn. 11(S2) (2017) 316–333] and formulate delayed models for interactive wild and sterile mosquitoes, which can depict wild mosquito population undergoing distinct stages of development during a lifetime. By performing mathematical analysis, the threshold dynamics of the proposed models are explored, respectively. In particular, Hopf bifurcation phenomena are observed as the delay τ is varying. Numerical examples illustrate our findings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 16
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 161723865
- Full Text :
- https://doi.org/10.1142/S179352452250108X