Wang Ying, Gao Shujing, Liu Yujiang, Zhu Huaiping
Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China.
LAMPS and CDM, Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada.
Plants (Basel). 2023 Oct 23;12(20):3659. doi: 10.3390/plants12203659.
() is commonly found or intentionally planted in citrus orchards due to its ability to provide habitat and breeding grounds for the natural enemies of citrus pests. This study aims to expand from a switching Huanglongbing model by incorporating the effects of , vector preferences for settling, and pesticide application intervals on disease transmission. Additionally, we establish the basic reproduction number R0 and its calculation for a general switching compartmental epidemic model. Theoretical findings demonstrate that the basic reproduction number serves as a threshold parameter to characterize the dynamics of the models: if R0<1, the disease will disappear, whereas if R0>1, it will spread. Numerical results indicate that the recruitment rate of not only affects the spread speed of Huanglongbing but also leads to paradoxical effects. Specifically, in cases of high infection rates, a low recruitment rate of can result in a decrease, rather than an increase, in the basic reproduction number. Conversely, a high recruitment rate can accelerate the spread of Huanglongbing. Furthermore, we show how different vector bias and pesticide spraying periods affect the basic reproduction number.
由于其能够为柑橘害虫的天敌提供栖息地和繁殖地,(某物种)在柑橘园中普遍存在或被有意种植。本研究旨在通过纳入(某物种)的影响、媒介对定居的偏好以及农药施用间隔对疾病传播的影响,对一个切换型黄龙病模型进行扩展。此外,我们建立了一般切换 compartmental 流行病模型的基本再生数 R0 及其计算方法。理论研究结果表明,基本再生数作为一个阈值参数来表征模型的动态:如果 R0<1,疾病将消失,而如果 R0>1,它将传播。数值结果表明,(某物种)的招募率不仅影响黄龙病的传播速度,还会导致矛盾的影响。具体而言,在高感染率的情况下,(某物种)的低招募率可能导致基本再生数下降,而不是增加。相反,高招募率会加速黄龙病的传播。此外,我们展示了不同的媒介偏好和农药喷洒时期如何影响基本再生数。