Dengue transmission model in an age-structured population using delay differential equations
Abstract A mathematical model is presented in this article to describe the transmission of dengue in a population with varied age groups. The model is formulated using a system of delay differential equations. The model incorporates several factors such as the age distribution of the human populatio...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-03-01
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| Series: | Discover Public Health |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s12982-025-00467-z |
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| Summary: | Abstract A mathematical model is presented in this article to describe the transmission of dengue in a population with varied age groups. The model is formulated using a system of delay differential equations. The model incorporates several factors such as the age distribution of the human population, including both juveniles and adults, as well as vector control measures, human knowledge of self-defense, and the latent delay for both humans and vectors. To assess the stability of the sickness-free equilibrium and do sensitivity analysis on the model, we calculate the basic reproduction number using the next-generation matrix technique. Furthermore, the numerical simulations are shown as evidence to support the theoretical findings. A thorough analysis is conducted to explore several control measures that seek to minimize the rate at which vectors bite humans, while ensuring sufficient protection against disease transmission within the population. |
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| ISSN: | 3005-0774 |