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In this paper, we study nontrivial periodic solutions for seasonal epidemiological models with information‐dependent vaccination. Using Leray–Schauder degree theory, we establish new results concerning the existence of at least one nontrivial periodic solution for the SIS$$ SIS $$ and SIR$$ SIR $$ models with seasonality, state‐dependent vaccination coverage and delayed information. Some numerical simulations are presented to illustrate the effect of such vaccination coverage. [ABSTRACT FROM AUTHOR]

In this work, we prove that a seasonal-dependent SIRS model with general incidence and treatment rates has periodic solutions. This generalized model is analyzed using Leray-Schauder degree theory to prove the existence of a periodic solution. Finally, numerical simulations are shown to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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Copyright of Revista Integración is the property of Universidad Industrial de Santander and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)