Year 2020, Volume 49 , Issue 3, Pages 921 - 934 2020-06-02

Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes

Meltem GÖLGELİ [1] , Fatihcan M. ATAY [2]


Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The first model considers the dynamics of the disease among adults and emphasizes the role of carriers in the SIR model and the second model assumes that the disease is transmitted to children by adults. We state the equilibria for each model and study the local stability of the equilibria. Furthermore, we perform simulations using a parameter set that explains the spread of a specific infectious disease (meningococcal disease) and interpret the possible cases of transmission via simulations.
SIR model, epidemic threshold, local stability, age structure
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Orcid: 0000-0002-3671-6225
Author: Meltem GÖLGELİ (Primary Author)
Institution: TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY
Country: Turkey


Orcid: 0000-0001-6277-6830
Author: Fatihcan M. ATAY
Institution: IHSAN DOGRAMACI BILKENT UNIVERSITY
Country: Turkey


Dates

Publication Date : June 2, 2020

Bibtex @research article { hujms624042, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {921 - 934}, doi = {10.15672/hujms.624042}, title = {Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes}, key = {cite}, author = {Gölgeli̇, Meltem and Atay, Fatihcan M.} }
APA Gölgeli̇, M , Atay, F . (2020). Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes . Hacettepe Journal of Mathematics and Statistics , 49 (3) , 921-934 . DOI: 10.15672/hujms.624042
MLA Gölgeli̇, M , Atay, F . "Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 921-934 <https://dergipark.org.tr/en/pub/hujms/issue/54699/624042>
Chicago Gölgeli̇, M , Atay, F . "Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 921-934
RIS TY - JOUR T1 - Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes AU - Meltem Gölgeli̇ , Fatihcan M. Atay Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.624042 DO - 10.15672/hujms.624042 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 921 EP - 934 VL - 49 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.624042 UR - https://doi.org/10.15672/hujms.624042 Y2 - 2019 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes %A Meltem Gölgeli̇ , Fatihcan M. Atay %T Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 3 %R doi: 10.15672/hujms.624042 %U 10.15672/hujms.624042
ISNAD Gölgeli̇, Meltem , Atay, Fatihcan M. . "Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes". Hacettepe Journal of Mathematics and Statistics 49 / 3 (June 2020): 921-934 . https://doi.org/10.15672/hujms.624042
AMA Gölgeli̇ M , Atay F . Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 921-934.
Vancouver Gölgeli̇ M , Atay F . Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 921-934.