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

dc.contributor.authorStephano, Mussa
dc.contributor.authorIrunde, Jacob
dc.contributor.authorMayengo, Maranya
dc.contributor.authorKuznetsov, Dmitry
dc.date.accessioned2024-05-23T13:17:18Z
dc.date.available2024-05-23T13:17:18Z
dc.date.issued2024-05-04
dc.descriptionThis research article was published by the Journals of Applied Mathematics ,Volume 2024, Article ID 2130429,en_US
dc.description.abstractLymphatic 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.en_US
dc.identifier.govdochttps://doi.org/10.1155/2024/2130429
dc.identifier.urihttps://doi.org/10.1155/2024/2130429
dc.identifier.urihttps://dspace.nm-aist.ac.tz/handle/20.500.12479/2663
dc.language.isoenen_US
dc.publisherHindawien_US
dc.subjectasymptomatic carriers;en_US
dc.subjectCTMC stochastic model;en_US
dc.subjectdeterministic model;en_US
dc.subjectlymphatic filariasisen_US
dc.subjectmultitype branching processen_US
dc.titleThe Significance of Stochastic CTMC Over Deterministic Model in Understanding the Dynamics of Lymphatic Filariasis With Asymptomatic Carriersen_US
dc.typeArticleen_US

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