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Dynamical Analysis of Cholera Epidemic Model with Educational Preventive Measures

机译:霍乱疫情模型与教育预防措施的动态分析

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Cholera is an infectious bacterial disease caused bya bacterium named Vibrio Cholerae. Therefore, this researchaims to determine cholera’s dynamic analysis due to its rapidspread, using educational preventive measures. The modelconsists of four human subpopulations, namely susceptible,educated, infected, and recovered, as well as the bacteria population. The infection rate is assumed in the form of a saturatedincidence rate found in interactions between the educated andbacteria population and the interactions between the susceptibleand bacteria population. Furthermore, the dynamical analysisis performed by determining the equilibrium point, the basic reproduction number, and the stability. We also performsensitivity analysis of the parameters. The results showed thatthe model has two equilibrium points, namely disease-freeand endemic. The disease-free equilibrium point always exists,while endemic occurs when the basic reproduction number isgreater than one. In addition, the disease-free equilibrium pointis asymptotically stable when the basic reproduction numberis less than one. Meanwhile, the endemic equilibrium pointis asymptotically stable under certain conditions. Numericalsimulations showed that the results are consistent with theanalysis. Furthermore, educational measures have a significantimpact on controlling the spread of cholera.
机译:霍乱是一种感染性细菌疾病,导致伯氏菌命名为霍乱霍乱。因此,这种研究员通过教育预防措施来确定霍乱的动态分析。四种人类群的模型分子,即易感,受过教育,感染和恢复,以及细菌。饱和率的形式假设感染率在受过教育的和基因群人群之间的相互作用中发现和肌肉受菌细菌群之间的相互作用。此外,通过确定均衡点,基本再现数和稳定性来执行的动态分析。我们还对参数进行了性能分析。结果表明,该模型具有两个均衡点,即疾病 - Freeand流行。无疾病的平衡点总是存在,而在基本再现数量是比一个的基本再现数量时发生的流行。此外,无疾病平衡尖端渐近稳定,当基本繁殖Numberis小于一个时。同时,在某些条件下,流域均衡尖端渐近稳定。数值刺激表明,结果与Thean分析一致。此外,教育措施对控制霍乱的蔓延有一项专注。

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