Electronic Research Archive (May 2024)

Almost periodic positive solutions of two generalized Nicholson's blowflies equations with iterative term

  • Youqian Bai,
  • Yongkun Li

DOI
https://doi.org/10.3934/era.2024148
Journal volume & issue
Vol. 32, no. 5
pp. 3230 – 3240

Abstract

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This article considered two generalized Nicholson's blowflies equations with iteration term and time delay, as well as with immigration, and Nicholson's blowflies equation with iteration term and time delay, as well as harvesting term, respectively. Under appropriate conditions, the existence and uniqueness of almost periodic positive solutions for these two equations were established, respectively, by employing Banach's fixed point theorem. These results were brand new.

Keywords