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<p>This paper presents an innovative SITR(H)–SEI(M) model designed to analyze and understand the dynamics of dengue fever transmission. The model offers an accurate analysis of disease spread and is applied to recent health data from multiple countries, including Singapore, Costa Rica, Yemen, and India. We investigate the existence, uniqueness, and stability of solutions, and thoroughly examine the basic reproduction number, equilibrium points, and their stability effects. The results show that the disease-free equilibrium is stable when the basic reproduction number is below one, indicating control through preventive measures. Simulations demonstrate a direct relationship between transmission rates and the number of infected individuals, reinforcing the importance of swift action during outbreaks. Recommended preventive measures include insecticide spraying, distribution of treated nets, and implementation of effective treatment protocols. This study illustrates the value of continuously monitoring health data and updating the model parameters to maintain effectiveness and sustainability. These findings highlight the need for targeted interventions to reduce the basic reproduction number to below one, thereby controlling dengue transmission and ensuring community safety.</p>

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Insights into Dengue fever dynamics through advanced mathematical modeling and simulation

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • Souad Bounouiga,
  • Bilal Basti,
  • Noureddine Benhamidouche

摘要

This paper presents an innovative SITR(H)–SEI(M) model designed to analyze and understand the dynamics of dengue fever transmission. The model offers an accurate analysis of disease spread and is applied to recent health data from multiple countries, including Singapore, Costa Rica, Yemen, and India. We investigate the existence, uniqueness, and stability of solutions, and thoroughly examine the basic reproduction number, equilibrium points, and their stability effects. The results show that the disease-free equilibrium is stable when the basic reproduction number is below one, indicating control through preventive measures. Simulations demonstrate a direct relationship between transmission rates and the number of infected individuals, reinforcing the importance of swift action during outbreaks. Recommended preventive measures include insecticide spraying, distribution of treated nets, and implementation of effective treatment protocols. This study illustrates the value of continuously monitoring health data and updating the model parameters to maintain effectiveness and sustainability. These findings highlight the need for targeted interventions to reduce the basic reproduction number to below one, thereby controlling dengue transmission and ensuring community safety.