A class of multi-age group $SEQ_3IHR$ chickenpox epidemic models with effective vaccination in a different subpopulation size, is considered, in this paper. It is assumed that individual members of the subpopulations who recovered from the disease, may be re-infected by the disease. The models comprise of six infectious classes of subclasses and three distinct infected stages of subclasses. We establish that the global dynamics of the epidemic models are determined entirely by the basic reproduction number. In this paper, we determine that the disease-free and endemic equilibrium states, and carry out a stability analysis of the disease-free as well as the endemic equilibrium points of the m... More >

In this paper, we develop a mathematical model for juvenile delinquency transmission dynamics by incorporating key control strategies, namely precautionary measures, public education, and intervention programs. The model aims to identify effective prevention and control measures for curbing the spread of delinquent behavior among youths, with particular emphasis on evaluating the efficacy of public education. Adopting an epidemiological modelling framework, we derive a system of nonlinear differential equations governing the dynamics of juvenile delinquency over time. Stability analysis of the model is conducted, and the basic reproduction number along with the equilibrium points for both de... More >

This paper proposes a dynamic programming (DP) approach for a stochastic multi-period allocation problem, whereby fleet of vehicles are assigned from stations to destinations with multiple alternative routes in order to maximize returns, while the vehicles are subject to random failure. In the process of managing the business, the company is assumed to incur proportional management costs and pay tax to government. The expected returns is modelled as a function of random failure of vehicles due to bad roads and depreciation. The depreciation rate is assumed to follow a straight-line approach. The breakdown rate is modelled as function of the rate of bad roads on the fleets, depreciation rate... More >