A Comparative Study of the Role of Constant and Logistic  Recruitment Rates in Epidemiological Models

Authors

  • T. T. Ashezua
    Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria
  • K. I. Isife
    Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria
  • F. A. Oguntolu
    Department of Mathematics, Federal University of Technology, Minna, Nigeria
  • Hassan Ibrahim
    Department of Mathematics, Federal University of Lafia, Lafia, Nigeria

Keywords:

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Abstract

In this paper, we present three mathematical models of epidemiology. In each of the models, we present a scenario where constant and logistic recruitment rate are incorporated in each case. It was observed in Case I that, the reproduction number of the model with logistic recruitment rate is less than the reproduction number from the model with constant recruitment rate. Further, in Case II, the reproduction number from the model with both constant and logistic recruitment rates are the same. Finally, in Case III, it was  observed that the human reproduction number from the model with logistic recruitment rate is higher than the human reproduction number from the model with constant recruitment rate. 

Dimensions

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Front

Published

2024-07-27

How to Cite

A Comparative Study of the Role of Constant and Logistic  Recruitment Rates in Epidemiological Models. (2024). Lafia Journal of Scientific and Industrial Research, 2(2), 101-107. https://doi.org/10.62050/ljsir2024.v2n2.316

Issue

Volume 2, Issue 2 (October, 2024), Lafia Journal of Scientific and Industrial Research (LJSIR)

Section

Physical Sciences
Copyright & Licensing

Copyright (c) 2024 Lafia Journal of Scientific and Industrial Research

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

A Comparative Study of the Role of Constant and Logistic  Recruitment Rates in Epidemiological Models. (2024). Lafia Journal of Scientific and Industrial Research, 2(2), 101-107. https://doi.org/10.62050/ljsir2024.v2n2.316

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