Transmission dynamics of a Huanglongbing model with cross protection
| Autor: | Yangqiu Ge, Shujing Gao, Lei Luo, Youquan Luo |
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| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Algebra and Number Theory backward bifurcation lcsh:Mathematics Applied Mathematics sub-threshold value lcsh:QA1-939 Huanglongbing model 01 natural sciences Plant disease law.invention 010101 applied mathematics 03 medical and health sciences 030104 developmental biology Transmission (mechanics) cross protection Control measure law Statistics 0101 mathematics Mathematical economics Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-21 (2017) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-017-1392-y |
| Popis: | Huanglongbing (HLB) is one of the most common widespread vector-borne transmission diseases through psyllid, which is called a kind of cancer of plant disease. In recent years, biologists have focused on the role of cross protection strategy to control the spread of HLB. In this paper, according to transmission mechanism of HLB, a deterministic model with cross protection is formulated. A threshold value $R_{0}$ is established to measure whether or not the disease is uniformly persistent. The existence of a backward bifurcation presents a further sub-threshold condition below $R_{0}$ for the spread of the disease. We also discuss the effects of cross protection and removing infected trees in spreading the disease. Numerical simulations suggest that cross protection is a promotion control measure, and replanting trees is bad for HLB control. |
| Databáze: | OpenAIRE |
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