Dynamics of Trachoma Epidemic in Human Contact Network with Seasonally Varying Infectious Medium

The transmission of infectious diseases excessively depends on the seasonality variation of the infective mediums. Infectious diseases may be contagious, vector borne, air or water borne. In this paper, we had investigated the epidemic model of a vector-borne disease (Trachoma), which is contagious...

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Bibliographic Details
Published in:National Academy of Sciences, India. Proceedings. Section A. Physical Sciences India. Proceedings. Section A. Physical Sciences, 2021-12, Vol.91 (4), p.623-631
Main Authors: Myilsamy, Kalaiselvi, Satheesh Kumar, Athira, Muthukrishnan, Senthil Kumar
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Disease control
Epidemics
Equilibrium analysis
Infectious diseases
Mathematical analysis
Mathematical models
Molecular
Networks
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Rainfall
Scientific Research Paper
Seasonal variations
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Summary:The transmission of infectious diseases excessively depends on the seasonality variation of the infective mediums. Infectious diseases may be contagious, vector borne, air or water borne. In this paper, we had investigated the epidemic model of a vector-borne disease (Trachoma), which is contagious as well. For this purpose, we extended the SIS model and examined the impact of seasonal variations in the dynamics of the disease spreading model. Seasonal variations are periodically occurring short-term fluctuations. Some of the causes of seasonality comprise the competence of the pathogen to survive outside the host. This relies upon several factors like temperature, sunlight, rainfall, humidity, immunity of the host and abundance of the vectors. Here we extend the mathematical model of trachoma transmission over human contact networks and studied how the disease transmission occurs in the contact networks with seasonally varying infectious medium. For this purpose, we considered mathematical SIS epidemic with homogeneous contact and heterogeneous contact networks. In both contact networks, basic reproduction number R 0 is derived and equilibrium analysis is also discussed. Finally, the numerical results are illustrated to corroborate the theoretical findings.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-021-00754-9