A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine

Phoebe Amadi; George Lawı; Job Bonyo

doi:10.33187/jmsm.1289684

EN

A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine

Abstract

In this paper, a metapopulation model has been developed and analysed to describe the transmission dynamics of cholera between two communities linked by migration, in the presence of an imperfect vaccine and a varying media awareness impact. Stability analysis shows that the disease-free equilibrium is both locally and globally asymptotically stable when the vaccine reproduction number is less than unity. The endemic equilibria have also been shown to be locally asymptotically stable when the vaccine reproduction number is greater than unity. The simulation results show that with an imperfect vaccine and efficient media awareness, cholera transmission is reduced. The transmission rates have also been shown to be nonidentical in the two communities. It is therefore advisable, that health practitioners embrace the use of both vaccination and media awareness when designing and implementing community-specific cholera intervention strategies.

Keywords

Cholera, Imperfet vaccine, Media awareness, Metapopulation, Migration

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Phoebe Amadi
0000-0002-5314-8688
Kenya

George Lawı
0000-0002-4699-558X
Kenya

Job Bonyo ^*
0000-0002-6442-4211
Kenya

Early Pub Date

February 25, 2024

Publication Date

May 8, 2024

Submission Date

April 29, 2023

Acceptance Date

November 8, 2023

Published in Issue

Year 2024 Volume: 7 Number: 1

DOI

https://doi.org/10.33187/jmsm.1289684

IZ

https://izlik.org/JA52EA82KT

APA

Amadi, P., Lawı, G., & Bonyo, J. (2024). A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine. Journal of Mathematical Sciences and Modelling, 7(1), 20-32. https://doi.org/10.33187/jmsm.1289684

AMA

1.Amadi P, Lawı G, Bonyo J. A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine. Journal of Mathematical Sciences and Modelling. 2024;7(1):20-32. doi:10.33187/jmsm.1289684

Chicago

Amadi, Phoebe, George Lawı, and Job Bonyo. 2024. “A Metapopulation Model for Cholera With Variable Media Efficacy and Imperfect Vaccine”. Journal of Mathematical Sciences and Modelling 7 (1): 20-32. https://doi.org/10.33187/jmsm.1289684.

EndNote

Amadi P, Lawı G, Bonyo J (May 1, 2024) A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine. Journal of Mathematical Sciences and Modelling 7 1 20–32.

IEEE

[1]P. Amadi, G. Lawı, and J. Bonyo, “A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine”, Journal of Mathematical Sciences and Modelling, vol. 7, no. 1, pp. 20–32, May 2024, doi: 10.33187/jmsm.1289684.

ISNAD

Amadi, Phoebe - Lawı, George - Bonyo, Job. “A Metapopulation Model for Cholera With Variable Media Efficacy and Imperfect Vaccine”. Journal of Mathematical Sciences and Modelling 7/1 (May 1, 2024): 20-32. https://doi.org/10.33187/jmsm.1289684.

JAMA

1.Amadi P, Lawı G, Bonyo J. A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine. Journal of Mathematical Sciences and Modelling. 2024;7:20–32.

MLA

Amadi, Phoebe, et al. “A Metapopulation Model for Cholera With Variable Media Efficacy and Imperfect Vaccine”. Journal of Mathematical Sciences and Modelling, vol. 7, no. 1, May 2024, pp. 20-32, doi:10.33187/jmsm.1289684.

Vancouver

1.Phoebe Amadi, George Lawı, Job Bonyo. A Metapopulation Model for Cholera with Variable Media Efficacy and Imperfect Vaccine. Journal of Mathematical Sciences and Modelling. 2024 May 1;7(1):20-32. doi:10.33187/jmsm.1289684