Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system

Wentao Wang; Wentao Wang

doi:10.3934/math.2024519

AIMS Mathematics

2024, Volume 9, Issue 5: 10638-10658. doi: 10.3934/math.2024519

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Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system

Wentao Wang ^,

School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

Received: 17 January 2024 Revised: 04 March 2024 Accepted: 08 March 2024 Published: 18 March 2024
MSC : 34A34, 34C27, 34K14

In this paper, we investigate a class of competitive and cooperative Nicholson's blowfly equations. By applying the Lyapunov functional and analysis technique, the conditions for the existence and exponential convergence of a positive almost periodic solution are derived. Moreover, an example and numerical simulation for justifying the theoretical analysis are also provided.
- positive almost periodic solution,
- exponential convergence,
- Nicholson's blowfly model,
- M-matrix,
- exponential dichotomy
Citation: Wentao Wang. Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system[J]. AIMS Mathematics, 2024, 9(5): 10638-10658. doi: 10.3934/math.2024519

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Abstract

In this paper, we investigate a class of competitive and cooperative Nicholson's blowfly equations. By applying the Lyapunov functional and analysis technique, the conditions for the existence and exponential convergence of a positive almost periodic solution are derived. Moreover, an example and numerical simulation for justifying the theoretical analysis are also provided.

References

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