Abstract
In the present paper, we formulate a new mathematical model for the dynamics of moral corruption with comprehensive age-appropriate sexual information and provision of guidance and counselling. The population is subdivided into three (3) different compartments according to their level of information on sexual matters. The model is proved to be both epidemiologically and mathematically well posed. The existence of unique morally corrupt-free and endemic equilibrium points is investigated. The basic reproduction number with respect to morally corrupt-free equilibrium is obtained using next generation matrix approach to monitor the dynamics of corrupt morals and ascertain its level in order to suggest effective intervention strategies to control this problem. The local as well as global asymptotic stability of these equilibrium points is studied. The analysis reveals a globally asymptotically stable morally corrupt-free equilibrium whenever ℛ 0 ≤ 1 and a globally asymptotically stable endemic equilibrium if otherwise. Further analysis, using center manifold theory, shows that the model exhibits forward bifurcation insinuating that the classical epidemiological requirement of ℛ 0 ≤ 1 is necessary and sufficient for elimination of moral corruption. A brief discussion on the graphical results using the available numerical procedures is shown. From numerical simulations, it was ascertain that integrated control strategy is the best approach to fight against moral corruption transmission. Lastly, some key parameters that show significance in the moral corruption elimination from the society are also exploited.
Highlights
While corruption can be defined as “abuse of public office for private gain,” involving misappropriation of public authority for personal advantage [1], corruption of morals on the other hand is erosion of morals or deviating from societal way of life and civilization for personal gain disregarding the damages that come with it
Morally corrupt-free or infection-free equilibrium solution exists when there is no moral corruption in the population. e trivial equilibrium solution E0 exists and is the only equilibrium solution for R0 ≤ 1. e moral corruption-free equilibrium point of model (1) is obtained by equating all equations of model (1) to zero and letting C 0
To ensure the effective control of corrupt morals from the society is independent of the initial size of the subpopulations of model (1), it is necessary to show that the MCFE is globally asymptotically stable (GAS). is is considered in eorem 2 that follows immediately
Summary
While corruption can be defined as “abuse of public office for private gain,” involving misappropriation of public authority for personal advantage [1], corruption of morals on the other hand is erosion of morals or deviating from societal way of life and civilization for personal gain disregarding the damages that come with it. A compartmental mathematical model was used to study the effectiveness of all possible combinations of two moral corruption preventive measures, namely, (i) provision of youth friendly services and comprehensive ageappropriate sexual education and (ii) provision of guidance and counselling services. Rate of guidance and counselling Exit rate (the rate at which the adolescents graduate from the 10–19 years age bracket) Measure the availability level of adolescent friendly reproductive health services and sexual information. 0 < σ < 1 measures the rate change of corruption of morals due to availability of youth friendly services and information on age-appropriate sexual matters and 0 < α < 1 measures the rate change of corruption of morals due guiding and counselling (that is, at religion, home, or school level)
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