Global stability and Sensitivity Analysis of Malaria, Dengue and Typhoid Triple Infection

T. Oluwafemi, E. Azuaba, D. Bako, J. Dayap
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Abstract

This study investigates the global stability of the endemic equilibrium point of triple co-infection of malaria, dengue, and typhoid. By using an appropriate Lyapunov function, the results show that the model is globally asymptotically stable. This implies that the diseases can be eradicated or kept at low levels, regardless of the population. Sensitivity analysis was also conducted to identify the most sensitive parameter. The results indicate that strategies to reduce malaria and dengue fever vectors should be prioritized to curb the spread of the diseases. Additionally, minimizing exposure to contaminated water and food, as well as reducing the discharge of typhoid bacteria into the environment, can help to reduce or curb the spread of typhoid in the environment.
疟疾、登革热和伤寒三重感染的全球稳定性和敏感性分析
本研究探讨了疟疾、登革热和伤寒三重并发感染的流行平衡点的全局稳定性。通过使用适当的 Lyapunov 函数,结果表明该模型具有全局渐近稳定性。这意味着,无论人口多少,这些疾病都可以根除或保持在较低水平。此外,还进行了敏感性分析,以确定最敏感的参数。结果表明,应优先采取减少疟疾和登革热病媒的战略,以遏制疾病的传播。此外,尽量减少接触受污染的水和食物,以及减少伤寒细菌在环境中的排放,也有助于减少或遏制伤寒在环境中的传播。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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