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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.&lt;\/p&gt;<\/jats:p>","DOI":"10.3934\/mbe.2024333","type":"journal-article","created":{"date-parts":[[2024,11,14]],"date-time":"2024-11-14T11:12:14Z","timestamp":1731582734000},"page":"7582-7600","source":"Crossref","is-referenced-by-count":0,"title":["Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes"],"prefix":"10.3934","volume":"21","author":[{"given":"Maria Guadalupe","family":"Vazquez-Pe\u00f1a","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, 36023 Guanajuato, Guanajuato, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cruz","family":"Vargas-De-Le\u00f3n","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Investigaci\u00f3n, Hospital Ju\u00e1rez de M\u00e9xico, Ciudad de M\u00e9xico 07760, Mexico"},{"name":"Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n, Escuela Superior de Medicina, Instituto Polit\u00e9cnico Nacional, Ciudad de M\u00e9xico 11340, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jorge","family":"Vel\u00e1zquez-Castro","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, Puebla, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2024333-1","doi-asserted-by":"publisher","unstructured":"B. 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