Global dynamics of a Filippov plant disease model with an economic threshold of infected-susceptible ratio |
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Authors: | Lihong Huang Huili M Jiafu Wang Chuangxia Huang |
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Affiliation: | Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, Hunan 410114, China |
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Abstract: | This paper presents a Filippov plant disease model incorporating an economic threshold of infected-susceptible ratio, above which control strategies of replanting or removing are needed to be carried out. Based on the Filippov approach, we study the sliding mode dynamics and further the global dynamics. It is shown that there is a unique equilibrium, which is a disease-free equilibrium, an endemic equilibrium or a pseudo-equilibrium. Moreover, the equilibrium is proved to be globally asymptotically stable. Our results indicate that the control goal can be achieved by taking appropriate replanting and removing rate. |
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Keywords: | Filippov systems plant disease model economic threshold stability. |
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