Global phase portraits of Stommel model with boundary equilibria

In this paper, we consider the global dynamics of Stommel model with boundary equilibria. We study the qualitative properties of equilibria of Stommel model and prove the nonexistence of limit cycles and singular closed orbits. Moreover, we obtain the bifurcation diagram and global phase portraits of Stommel model.

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Publication Details

Journal
Advances in Continuous and Discrete Models
Published
2026-04-07
DOI
https://doi.org/10.1186/s13662-026-04091-2
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00

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article

Global phase portraits of Stommel model with boundary equilibria

Kuilin Wu, Ning Xiao
Advances in Continuous and Discrete Models
Mathematical and Theoretical Epidemiology and Ecology Models
article

Global phase portraits of Stommel model with boundary equilibria

Kuilin Wu, Ning Xiao
article en

Abstract

In this paper, we consider the global dynamics of Stommel model with boundary equilibria. We study the qualitative properties of equilibria of Stommel model and prove the nonexistence of limit cycles and singular closed orbits. Moreover, we obtain the bifurcation diagram and global phase portraits of Stommel model.

Advances in Continuous and Discrete ModelsVol. 2026(1)
Guizhou University (CN)
National Natural Science Foundation of China, Science and Technology Program of Guizhou Province
Openalex Percentile: Top 30%
Mathematical and Theoretical Epidemiology and Ecology Models
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