The Seir Mathematical Modeling of Drug Infection Transmission in Northern Region of Taraba State, Nigeria
I. O. Akpienbi *
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
O. Shiaki Bulus
Department of Science Education, Faculty of Education, Taraba State Universty, Jalingo, Nigeria.
B. Haruna
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
O. D. Ogwumu
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
M. O. Nwaokolo
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper, considered mathematical modeling of drug infection transmission in northern region of Taraba state. The SEIR model was proposed and was used to analyze the existence and stability of drugs free equilibrium and an endemic equilibrium of the system. The reproduction number of the model was obtained and it’s has unique solution and significant effect in determining their stability. The finding suggests proper policies and rehabilitation programs along with implementation would reduce drug infections transmission in Northern Taraba State, Nigeria.
Keywords: Drug crime, reproduction number, lyapunov function, LaSalle’s invariance principle