昆虫不育技术
霍普夫分叉
动力学(音乐)
生物
人口
简单(哲学)
应用数学
生物系统
数学
分叉
物理
人口学
有害生物分析
植物
社会学
声学
哲学
认识论
非线性系统
量子力学
作者
Juan Wang,Peixia Yue,Liming Cai
标识
DOI:10.1142/s179352452250108x
摘要
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 [Formula: see text] is varying. Numerical examples illustrate our findings.
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