Periodic orbits for seasonal sirs models with non-linear incidence rates

Laura Rocio González-Ramírez; Osvaldo Osuna; Ruben Santaella-Forero

Periodic orbits for seasonal sirs models with non-linear incidence rates

Laura Rocio González-Ramírez, Osvaldo Osuna, Ruben Santaella-Forero

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we prove the existence of periodic solutions for a seasonally-dependent SIRS model using Leray-Schauder degree theory. We obtain criteria for the uniqueness and asymptotic stability of the periodic solution of the system. We also present suitable examples of a seasonal epidemiological disease.

Original language	English
Article number	300
Journal	Electronic Journal of Differential Equations
Volume	2015
State	Published - 7 Dec 2015
Externally published	Yes

Keywords

Leray-Schauder degree
Periodic orbits
SIRS models

Cite this

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title = "Periodic orbits for seasonal sirs models with non-linear incidence rates",

abstract = "In this work, we prove the existence of periodic solutions for a seasonally-dependent SIRS model using Leray-Schauder degree theory. We obtain criteria for the uniqueness and asymptotic stability of the periodic solution of the system. We also present suitable examples of a seasonal epidemiological disease.",

keywords = "Leray-Schauder degree, Periodic orbits, SIRS models",

author = "Gonz{\'a}lez-Ram{\'i}rez, {Laura Rocio} and Osvaldo Osuna and Ruben Santaella-Forero",

note = "Publisher Copyright: {\textcopyright} 2015 Texas State University.",

year = "2015",

month = dec,

day = "7",

language = "Ingl{\'e}s",

volume = "2015",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Periodic orbits for seasonal sirs models with non-linear incidence rates

AU - González-Ramírez, Laura Rocio

AU - Osuna, Osvaldo

AU - Santaella-Forero, Ruben

PY - 2015/12/7

Y1 - 2015/12/7

N2 - In this work, we prove the existence of periodic solutions for a seasonally-dependent SIRS model using Leray-Schauder degree theory. We obtain criteria for the uniqueness and asymptotic stability of the periodic solution of the system. We also present suitable examples of a seasonal epidemiological disease.

AB - In this work, we prove the existence of periodic solutions for a seasonally-dependent SIRS model using Leray-Schauder degree theory. We obtain criteria for the uniqueness and asymptotic stability of the periodic solution of the system. We also present suitable examples of a seasonal epidemiological disease.

KW - Leray-Schauder degree

KW - Periodic orbits

KW - SIRS models

UR - http://www.scopus.com/inward/record.url?scp=84951195533&partnerID=8YFLogxK

M3 - Artículo

AN - SCOPUS:84951195533

SN - 1072-6691

VL - 2015

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 300

ER -

Periodic orbits for seasonal sirs models with non-linear incidence rates

Abstract

Keywords

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