Shaday Guerrero-Flores, Osvaldo Osuna, Cruz Vargas-de-Leon
Abstract:
In this work, we considered a family of SIRS models for a fatal
disease, with seasonal variation in the contact rate and isolation
control strategies. We establish the existence of periodic orbits
of seasonal SIQRS disease, by using Leray-Schauder degree theory.
Examples related to the seasonal variation in respiratory syncytial
virus infection are included.
Submitted April 25, 2018. Published July 24, 2019.
Math Subject Classifications: 37J45, 34C25, 92D30, 34D23.
Key Words: Leray-Schauder degree; SIQRS models; periodic orbits.
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Shaday Guerrero-Flores Instituto de Física y Matemáticas Universidad Michoacana, Edif. C-3 Cd. Universitaria, C.P. 58040 Morelia, Mich., México email: shaday@ifm.umich.mx |
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Osvaldo Osuna Instituto de Física y Matemáticas Universidad Michoacana, Edif. C-3 Cd. Universitaria, C.P. 58040 Morelia, Mich., México email: osvaldo@ifm.umich.mx |
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Cruz Vargas-de-León Escuela Superior de Medicina Instituto Politécnico Nacional, Miguel Hidalgo Casco de Santo Tomas, C.P. 11340 Ciudad de México, México email: leoncruz82@yahoo.com.mx |
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