AN OVERVIEW OF SOME BIOMATHEMATICAL MODELS OF DENGUE FEVER VIRUS TRANSMISSION | ||
| البحوث التطبيقية في العلوم والانسانيات | ||
| Volume 1, Issue 1, July 2024, Pages 1-22 PDF (1.48 M) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/aash.2024.368285 | ||
| Authors | ||
| Aisha Adel Hamada Youssef; Asmaa Sayed Ragab , Ahmed; Hager Atef Khairy Rifai; Hanan Hosny Mohamed Ali; Nermeen Kamal Ahmed Mohamed; Shaimaa Sayed Abdel Zaher; Mohammed, Tuqa Mohamed Sayed Sultan; Mohammad Hassan Haroun Hassan | ||
| Professor of Applied Mathematics. Ain Shams University, Faculty of Education, | ||
| Abstract | ||
| Dengue fever is a viral disease transmitted to humans by the bite of infected Aedes mosquitoes. In recent years, the illness has grown to be a significant public health burden. Dengue sickness has no effective therapy and no vaccination. Therefore, raising people's awareness of how diseases spread can be extremely important in halting the development of the illness. The paper discusses creating a compartmental diagram for human and mosquito populations, developing mathematical models for dengue fever transmission, defining variables, and parameters. Using compartmental mathematical models with ordinary differential equations for both human and mosquito populations, the dynamics of the disease are investigated. The stability of the equilibrium points of the SIR, SEIR, SIR-SI, and SEIR-SI models was analyzed by considering that recovered patients could be reinfected with dengue. Using the Mathematica program, the stability conditions were discussed, and we used some numerical values for the various variables mentioned in some previous studies to determine the equilibrium points for each model and clarify whether these equilibrium points were stable or unstable | ||
| Keywords | ||
| Dengue fever; SEIR-SI model; Endemic; Aedes mosquitoes; Stability | ||
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