1. Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control.
- Author
-
Bonyah, E., Khan, M.A., Okosun, K.O., and Gómez-Aguilar, J.F.
- Subjects
- *
GONORRHEA treatment , *ALCOHOL drinking , *OPTIMAL control theory , *ALCOHOLISM , *PONTRYAGIN'S minimum principle - Abstract
Highlights • A new mathematical model for gonorrhea heavy and non-heavy alcohol deterministic model is formulated. • The concept of optimal control was incorporated into the model with the objective of minimizing the transmission of gonorrhea. • Numerical results with long term behavior of the infected individuals are obtained. • The model uniqueness and existence solution were proved using fixed-point theorem approach. Abstract Alcoholism has become a global threat and has a serious health consequence in the society. In this paper, a deterministic alcohol model is formulated, analyzed and the basic properties established. The reproduction number R 0 of system is determined. The steady states examined and local stability is found to be both locally and globally stable. The endemic state exhibit three equilibra solutions. Furthermore, time dependent control is incorporated into the system in order to establish the best strategy in controlling the alcohol consumption and gonorrhea dynamics, using Pontryagin's Maximum Principle. The numerical results depict that the best strategy to controlling gonorrhea is the application of the three controls at the same time. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF