Mathematical analysis of a symptom-structured epidemic model

Authors

  • Pedro Isaac Pesantes Grados Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. Venezuela S/N, Lima 01, Lima-Peú. https://orcid.org/0000-0003-2370-1419
  • Roxana López-Cruz : Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. Venezuela S/N, Lima 01, Lima-Perú.

DOI:

https://doi.org/10.17268/sel.mat.2021.02.07

Keywords:

vaccination, stability, sensitivity, COVID-19

Abstract

We propose a modification of the SLIAR (Susceptible- Latent-Symptomatic Infected- Asymptomatic- Recovered) mathematical-epidemiological model with vital dynamics. This model includes a vaccination control strategy, and a treatment to reduce the symptoms, also the symptomatic infected population is divided into two states according to its severity. The qualitative analysis shows the local stability of the disease-free equilibrium point and the endemic point. Simulations and the statistical sensitivity analysis are developed using a set of parameters for COVID-19, and we found that the transmission, recruitment, finally, vaccination rates are potential targets to control an outbreak.

Author Biography

Roxana López-Cruz, : Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. Venezuela S/N, Lima 01, Lima-Perú.

Mathematics, Ph.D. (Arizona State University-USA) Master en Matemáticas, (UNMSM) Estudios de Posgrado (IMPA - BRASIL) Licenciado en Matemáticas (UNMSM) Bachiller en Matemáticas (UNMSM) Profesor Principal e Investigador - Facultad de Ciencias Matemáticas - UNMSM Profesor Asociado e Investigador IDIC-ULIMA Miembro Directivo de la Sociedad Peruana de Matemática Aplicada y Computacional Miembro Asociado (Pro Secretaria) Academia Nacional de Ciencia y Tecnología Miembro Numerado del Colegio de Matemáticos del Perú Decana Nacional del Colegio de Matemáticos del Perú (2012-2014) ViceDecana del Colegio de Matemáticos del Perú (2014-2016) Académico Titular de la Academia Nacional de Ciencia y Tecnología Presidenta de la Sociedad Latinoamericana de Biología Matemática (SOLABIMA) (2015 - 2017). La Dra. Roxana López Cruz es la investigadora dedicada al estudio de modelos biomatemáticos, es la principal promotora de esta disciplina en nuestro país y la organizadora del Seminario Internacional de Biomatemática en Perú, principal evento en esta área. Como profesional en Matemáticas, actualmente se dedica a la difusión de la biomatemática (Matemáticas y Ciencias de la Vida) en Perú. Ella organiza varios eventos nacionales en el área donde expertos extranjeros se unen a jóvenes estudiantes de matemáticas y computación científica que lmuestran lo que aprendido en las aulas, trabajando en problemas relacionados con las ciencias de la vida, las matemáticas y la computación. Junto con otros colegas como epidemiólogos, está desarrollando proyectos de investigación y publicando artículos sobre temas relacionados con la epidemiología matemática (dinámica de la población) y con colegas matemáticos, nuestros temas principales para el modelado matemático es la ecología (especies de interacción y medio ambiente).

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Published

2021-12-27

How to Cite

Pesantes Grados, P. I., & López-Cruz, R. (2021). Mathematical analysis of a symptom-structured epidemic model . Selecciones Matemáticas, 8(02), 295-315. https://doi.org/10.17268/sel.mat.2021.02.07

Issue

Vol. 8 No. 02 (2021): August - December

Section

Articles

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