Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model

作者：Liu Bingwen^*

来源：Journal of Mathematical Analysis and Applications, 2014, 412(1): 212-221.

DOI：10.1016/j.jmaa.2013.10.049

• Global exponential stability
• Time-varying delay
• Positive periodic solution
• Nicholson's blowflies model

This paper is concerned with a non-autonomous delayed Nicholson's blowflies model. Under proper conditions, we employ :a novel argument to establish a criterion on the global exponential stability of positive periodic solutions. This answers an open problem proposed by Berezansky et al. (2010) [2]. We also provide numerical simulations to support the theoretical result.

• 出版日期2014-4-1
• 单位嘉兴学院