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Periodic solutions of seasonal epidemiological models with information‐dependent vaccination.

Authors :
Guerrero‐Flores, Shaday
Osuna, Osvaldo
Vargas‐De‐León, Cruz
Source :
Mathematical Methods in the Applied Sciences. Mar2024, Vol. 47 Issue 4, p1961-1972. 12p.
Publication Year :
2024

Abstract

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]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
4
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
175388146
Full Text :
https://doi.org/10.1002/mma.9728