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

T. T. Ashezua; K. I. Isife; F. A. Oguntolu; Hassan Ibrahim

doi:10.62050/ljsir2024.v2n2.316

Authors

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

DOI:

https://doi.org/10.62050/ljsir2024.v2n2.316

Keywords:

Constant recruitment rate, Epidemiological models, Logistic recruitment rate, Reproduction number

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.

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