文章基本信息

标题：Qualitative analysis and sensitivity based optimal control of pine wilt disease
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作者：Aziz Ullah Awan ; Takasar Hussain ; Kazeem Oare Okosun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：27
DOI：10.1186/s13662-018-1486-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：We design a deterministic model of pine wilt affliction to analyze the transmission dynamics. We obtain the reproduction number in unequivocal form, and global dynamics of the ailment is totally controlled by this number. With a specific end goal to survey the adequacy of malady control measures, we give the affectability investigation of basic reproduction number R 0 $R_($ and the endemic levels of diseased classes regarding epidemiological parameters. From the aftereffects of the sensitivity analysis, we adjust the model to evaluate the effect of three control measures: exploitation of the tainted pines, preventive control to limit vector host contacts, and bug spray control to the vectors. Optimal analysis and numerical simulations of the model show that limited and appropriate utilization of control measures may extensively diminish the number of infected pines in a viable way.
关键词：dynamical system ; pine wilt disease ; stability analysis ; sensitivity analysis ; optimal control