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
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
hifulafia@gmail.com

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.

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

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