A double time-delay Holling Ⅱ predation model with weak Allee effect and age-structure

Yanhe Qiao; Hui Cao; Guoming Xu; Yanhe Qiao; Hui Cao; Guoming Xu

doi:10.3934/era.2024080

Electronic Research Archive

2024, Volume 32, Issue 3: 1749-1769. doi: 10.3934/era.2024080

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A double time-delay Holling Ⅱ predation model with weak Allee effect and age-structure

1.
College of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China
2.
College of Mathematical Sciences, Baotou Teachers' College, Baotou 014030, China

Received: 24 December 2023 Revised: 17 February 2024 Accepted: 21 February 2024 Published: 27 February 2024

A double-time-delay Holling Ⅱ predator model with weak Allee effect and age structure was studied in this paper. First, the model was converted into an abstract Cauchy problem. We also discussed the well-posedness of the model and the existence of the equilibrium solution. We analyzed the global stability of boundary equilibrium points, the local stability of positive equilibrium points, and the conditions of the Hopf bifurcation for the system. The conclusion was verified by numerical simulation.
- predation model,
- Allee effect,
- age-structure,
- time-delay effect,
- stability,
- Hopf bifurcation
Citation: Yanhe Qiao, Hui Cao, Guoming Xu. A double time-delay Holling Ⅱ predation model with weak Allee effect and age-structure[J]. Electronic Research Archive, 2024, 32(3): 1749-1769. doi: 10.3934/era.2024080

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Abstract

A double-time-delay Holling Ⅱ predator model with weak Allee effect and age structure was studied in this paper. First, the model was converted into an abstract Cauchy problem. We also discussed the well-posedness of the model and the existence of the equilibrium solution. We analyzed the global stability of boundary equilibrium points, the local stability of positive equilibrium points, and the conditions of the Hopf bifurcation for the system. The conclusion was verified by numerical simulation.

References

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