Global dynamics of a stage-structured Huanglongbing model with time delay. (English) Zbl 1442.92164
Summary: In this paper, we propose a stage-structured Huanglongbing transmission model with time delay. The basic reproductive number for Huanglongbing is calculated, and the threshold dynamics are analyzed. By using the method of fluctuations, a set of sufficient conditions for the global attractivity of the endemic equilibrium are given if disease-induced death is ignored and the control strategy of removing infected trees is not implemented. Numerical simulations are shown to illustrate our analytic results.
MSC:
| 92D30 | Epidemiology |
| 92C80 | Plant biology |
| 34K20 | Stability theory of functional-differential equations |
| 34D45 | Attractors of solutions to ordinary differential equations |
Keywords:
Huanglongbing transmission model; latency period; time-delayed model; stage structure; global attractivityReferences:
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