Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes
Mosquito-borne infectious diseases represent a significant public health issue. Age has been identified as a key risk factor for these diseases, and another phenomenon reported is relapse, which involves the reappearance of symptoms after a symptom-free period. Recent research indicates that suscept...
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| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024333 |
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| author | Maria Guadalupe Vazquez-Peña Cruz Vargas-De-León Jorge Velázquez-Castro |
| author_facet | Maria Guadalupe Vazquez-Peña Cruz Vargas-De-León Jorge Velázquez-Castro |
| author_sort | Maria Guadalupe Vazquez-Peña |
| collection | DOAJ |
| description | Mosquito-borne infectious diseases represent a significant public health issue. Age has been identified as a key risk factor for these diseases, and another phenomenon reported is relapse, which involves the reappearance of symptoms after a symptom-free period. Recent research indicates that susceptibility to and relapse of mosquito-borne diseases are frequently age-dependent. This paper proposes a new model to better capture the dynamics of mosquito-borne diseases by integrating two age-dependent factors: chronological age and asymptomatic-infection age. Chronological age refers to the time elapsed from the date of birth of the host to the present time. On the other hand, asymptomatic infection age denotes the time elapsed since the host became asymptomatic after the primary infection. The system of integro-differential equations uses flexible, unspecified functions to represent these dependencies, assuming they are integrable. We analyzed the global stability of both the disease-free and endemic equilibrium states using the direct Lyapunov method with Volterra-type Lyapunov functionals. Additionally, the paper explores several special cases involving well-known host-vector models. |
| format | Article |
| id | doaj-art-f21618da9eb541f1a922c07d90a686f9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f21618da9eb541f1a922c07d90a686f92025-01-23T07:48:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-11-0121117582760010.3934/mbe.2024333Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classesMaria Guadalupe Vazquez-Peña0Cruz Vargas-De-León1Jorge Velázquez-Castro2Centro de Investigación en Matemáticas, 36023 Guanajuato, Guanajuato, MexicoDivisión de Investigación, Hospital Juárez de México, Ciudad de México 07760, MexicoFacultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, MexicoMosquito-borne infectious diseases represent a significant public health issue. Age has been identified as a key risk factor for these diseases, and another phenomenon reported is relapse, which involves the reappearance of symptoms after a symptom-free period. Recent research indicates that susceptibility to and relapse of mosquito-borne diseases are frequently age-dependent. This paper proposes a new model to better capture the dynamics of mosquito-borne diseases by integrating two age-dependent factors: chronological age and asymptomatic-infection age. Chronological age refers to the time elapsed from the date of birth of the host to the present time. On the other hand, asymptomatic infection age denotes the time elapsed since the host became asymptomatic after the primary infection. The system of integro-differential equations uses flexible, unspecified functions to represent these dependencies, assuming they are integrable. We analyzed the global stability of both the disease-free and endemic equilibrium states using the direct Lyapunov method with Volterra-type Lyapunov functionals. Additionally, the paper explores several special cases involving well-known host-vector models.https://www.aimspress.com/article/doi/10.3934/mbe.2024333mosquito-borne infectious diseasesage dependencysusceptibilityrelapsevolterra-type lyapunov functions |
| spellingShingle | Maria Guadalupe Vazquez-Peña Cruz Vargas-De-León Jorge Velázquez-Castro Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes Mathematical Biosciences and Engineering mosquito-borne infectious diseases age dependency susceptibility relapse volterra-type lyapunov functions |
| title | Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes |
| title_full | Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes |
| title_fullStr | Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes |
| title_full_unstemmed | Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes |
| title_short | Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes |
| title_sort | global stability for a mosquito borne disease model with continuous time age structure in the susceptible and relapsed host classes |
| topic | mosquito-borne infectious diseases age dependency susceptibility relapse volterra-type lyapunov functions |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024333 |
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