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

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Authors: Yirong Gao, Shujing Gao, Yan Zhang, Wen Han
Cited by: 0

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.

Fields of Study & Subjects

Mathematical and Theoretical Epidemiology and Ecology Models Phytoplasmas and Hemiptera pathogens Ecosystem dynamics and resilience

Publication details

Journal / source
International Journal of Biomathematics
Publication date
30 January 2026
Language
EN