Modeling and analysis of Huanglongbing transmission: Spatial and non-spatial approaches with saturated treatment

Huanglongbing (HLB) is a catastrophic disease that poses a significant threat to citrus production, severely hindering the advancement of the global citrus industry. We analyze the equilibrium distribution of the model and demonstrate that the non-spatial model exhibits a variety of complex dynamical behaviors, including backward bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcation. In contrast, the spatial model, which incorporates diffusion processes, modifies the stability of equilibria and introduces the potential for Turing instability and Hopf bifurcation. Based on the theoretical analysis, we have pinpointed the critical mechanisms that drive disease propagation, underscoring the necessity for early intervention, resource optimization and the implementation of integrated pest management strategies.

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Publication Details

Journal
International Journal of Biomathematics
Published
2026-01-30
DOI
https://doi.org/10.1142/s1793524526500117
Primary Topic
Phytoplasmas and Hemiptera pathogens
Type
article
Field-Weighted Citation Impact
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article

Modeling and analysis of Huanglongbing transmission: Spatial and non-spatial approaches with saturated treatment

Han Wen, Shujing Gao, Yan Zhang, Yirong Gao
International Journal of Biomathematics
Phytoplasmas and Hemiptera pathogens
article

Modeling and analysis of Huanglongbing transmission: Spatial and non-spatial approaches with saturated treatment

Han Wen, Shujing Gao, Yan Zhang, Yirong Gao
article en

Abstract

Huanglongbing (HLB) is a catastrophic disease that poses a significant threat to citrus production, severely hindering the advancement of the global citrus industry. We analyze the equilibrium distribution of the model and demonstrate that the non-spatial model exhibits a variety of complex dynamical behaviors, including backward bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcation. In contrast, the spatial model, which incorporates diffusion processes, modifies the stability of equilibria and introduces the potential for Turing instability and Hopf bifurcation. Based on the theoretical analysis, we have pinpointed the critical mechanisms that drive disease propagation, underscoring the necessity for early intervention, resource optimization and the implementation of integrated pest management strategies.

International Journal of Biomathematics
Gannan Normal University (CN)
Openalex Percentile: Top 73%
Phytoplasmas and Hemiptera pathogens
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