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The Significance of Stochastic CTMC Over Deterministic Model in Understanding the Dynamics of Lymphatic Filariasis With Asymptomatic Carriers.

Authors :
Stephano, Mussa A.
Irunde, Jacob I.
Mayengo, Maranya M.
Kuznetsov, Dmitry
Source :
Journal of Applied Mathematics. 5/4/2024, Vol. 2024, p1-11. 11p.
Publication Year :
2024

Abstract

Lymphatic filariasis is a leading cause of chronic and irreversible damage to human immunity. This paper presents deterministic and continuous-time Markov chain (CTMC) stochastic models regarding lymphatic filariasis dynamics. To account for randomness and uncertainties in dynamics, the CTMC model was formulated based on deterministic model possible events. A deterministic model's outputs suggest that disease extinction is feasible when the secondary threshold infection number is below one, while persistence becomes likely when the opposite holds true. Furthermore, the significant contribution of asymptomatic carriers was identified. Results indicate that persistence is more likely to occur when the infection results from asymptomatic, acutely infected, or infectious mosquitoes. Consequently, the CTMC stochastic model is essential in capturing variabilities, randomness, associated probabilities, and validity across different scales, whereas oversimplification and unpredictability of inherent may not be featured in a deterministic model. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1110757X
Volume :
2024
Database :
Academic Search Index
Journal :
Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
177043210
Full Text :
https://doi.org/10.1155/2024/2130429