Huanglongbing Model under the Control Strategy of Discontinuous Removal of Infected Trees
| Autor: | Wei-Wei Ling, Pin-Xia Wu, Xiu-Mei Li, Liang-Jin Xie |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
generalized LaSalle invariance principle
010304 chemical physics Physics and Astronomy (miscellaneous) General Mathematics food and beverages differential equations with discontinuous right-hand sides 01 natural sciences 010305 fluids & plasmas Chemistry (miscellaneous) 0103 physical sciences QA1-939 Computer Science (miscellaneous) differential inclusion Biological system globally asymptotic stability Basic reproduction number Mathematics |
| Zdroj: | Symmetry, Vol 13, Iss 1164, p 1164 (2021) Symmetry Volume 13 Issue 7 |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym13071164 |
| Popis: | By using differential equations with discontinuous right-hand sides, a dynamic model for vector-borne infectious disease under the discontinuous removal of infected trees was established after understanding the transmission mechanism of Huanglongbing (HLB) disease in citrus trees. Through calculation, the basic reproductive number of the model can be attained and the properties of the model are discussed. On this basis, the existence and global stability of the calculated equilibria are verified. Moreover, it was found that different I0 in the control strategy cannot change the dynamic properties of HLB disease. However, the lower the value of I0, the fewer HLB-infected citrus trees, which provides a theoretical basis for controlling HLB disease and reducing expenditure. |
| Databáze: | OpenAIRE |
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