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

Youqian Bai; Yongkun Li; Youqian Bai; Yongkun Li

doi:10.3934/era.2024148

Electronic Research Archive

2024, Volume 32, Issue 5: 3230-3240. doi: 10.3934/era.2024148

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Research article

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

Youqian Bai ,
Yongkun Li ^,

Department of Mathematics, Yunnan University, Kunming 650091, China

Received: 17 February 2024 Revised: 22 April 2024 Accepted: 26 April 2024 Published: 08 May 2024

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.
- Nicholson's blowflies models,
- iterative terms,
- time delays,
- Banach fixed point theorem,
- almost periodic solutions
Citation: Youqian Bai, Yongkun Li. Almost periodic positive solutions of two generalized Nicholson's blowflies equations with iterative term[J]. Electronic Research Archive, 2024, 32(5): 3230-3240. doi: 10.3934/era.2024148

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Abstract

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.

References

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