Evidence map›Paper›PMID 42124877›Full record

ArticleHealth science reports2026

Ordinary Differential Equation Modeling and a Novel Zubair-Fréchet Distribution for Cholera in Ghana With Control Strategies.

Kofi Afriyie Nyamekye, Eric Sampane-Donkor, Joseph Quarshie, Franklin Asiedu-Bekoe, Azuma Abdul-Tawab, Justice Moses K Aheto

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Article in Health science reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

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2 · The registry

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3 · Its place in the literature

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4 · The record

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5 · Who and what money

Authors and funding

6 authors.

Kofi Afriyie NyamekyeUniversity of Professional Studies Accra Ghana.ORCID https://orcid.org/0000-0002-0956-7906
Eric Sampane-DonkorUniversity of Ghana Medical School Accra Ghana.
Joseph QuarshieUniversity of Professional Studies Accra Ghana.
Franklin Asiedu-BekoePublic Health Division Accra Ghana.
Azuma Abdul-TawabPublic Health Division Accra Ghana.
Justice Moses K AhetoUniversity of Ghana Accra Ghana.ORCID https://orcid.org/0000-0003-1384-2461

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Background and Aims: In this paper, we present a valuable and novel interdisciplinary study that applies a classic epidemiological model, Susceptible-Infected-Recovered (SIR) to capture the mean disease dynamics, with a novel Zubair Fréchet (ZF) distribution to model the extreme, heavy-tailed nature of cholera outbreak sizes. Furthermore, the proposed model is linked to both public health and actuarial risk. We demonstrate that the ZF provides a superior fit to cholera case data compared to traditional distributions. Methods: Data was collected from both primary sources (such as the Ghana Health Service) and secondary sources. The SIR model employs differential equations in modeling. The results of the simulation study showed that as the sample size was increased, the standard error and bias created by the novel Zubair-Fréchet distribution's parameters decreased while depicting a cholera outbreak. The paper finds that the Zubair-Fréchet distribution is more robust compared to some existing distributions, such as the Fréchet and Weibull distributions. Additionally, a number of actuarial properties were determined, and the maximum likelihood technique was used to estimate model parameters. Conclusion: Findings from the study show that parameter values of infectious contact rate (beta = 0.004) and recovery rate (gamma = 0.999) make the control strategy effective. ZF fits better than the Fréchet/Weibull distribution, as evidenced from the goodness-of-fit table. Furthermore, vaccination reduces transmission evidenced from the data showing less to no cases after vaccination. The results from this simulation could help guide the Ministry of Health and the Ghana Health Service's response to be able to deploy the necessary logistics, update preparedness, and response plans for the country as the rainy season begins. Industry practitioners may apply this family of distributions to microbiology, public health, and targeted interventions to reduce case fatality rates. Additionally, professionals in the insurance industry can apply our model in insurance value-at-risk and tail value-at-risk for fair premium pricing.

Indexed as

CholeraFréchet DistributionOrdinary differential EquationsSIR modelZubair ‐ Fréchet (ZF) Distribution

Identifiers

PMID42124877
PMCPMC13158156

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.