In a population of 1,530 individuals, the number of uncontrolled virgin men decreases to 200 virgin men.
It is assumed that individuals in the society can be classed in one of the eight compartments: virgin men, virgin women, married men, married women, divorced men, divorced women, widowed men and widowed women.
This result is similar to virgin women as shown in Figures 4 and 5. Figure 4 Time evolution of the virgin men with and without control.
On the other hand, by applying the control law, this number decreases rapidly to reach out the end of the companion awareness of 20 virgin men.
For equation (1) of the model, virgin men can contact a virgin, divorced or widowed woman with (alpha_{1}), (beta_{1}) and (alpha_{3}) rates respectively, and this contact can result in a marriage.
The model VMDW to be studied classifies the marital status of the family dynamics of a population into eight compartments: virgin men (V^{M}), virgin women (V^{W}), married men (M^{M}), married women (M^{W}), divorced men (D^{M}), divorced women (D^{W}), widowed men (W^{M}) and widowed women (W^{W}).
For this, we introduce a control variable ((u_{i}, v_{i})) that characterizes the benefits of an awareness campaign to educate virgin men and women about the benefits of marriage for the individual and for the society, especially the legal procedures, administrative complications, the heavy financial and social consequences of divorces respectively in the above mentioned model (1 - 8).
The first control is the benefits of an awareness campaign to educate virgin men and women about the benefits of marriage for the individual and for the society, the second control characterizes the legal procedures, administrative complications and the heavy financial and social consequences of divorces.
The first control introduced the benefits of an awareness campaign to educate virgin men and women about the benefits of marriage for individuals and for the society, and the second control characterized the legal procedures, administrative complications and the heavy financial and social consequences of divorces.
Thus the number of virgin men decreases and the number of virgins at the instant i is substituted for the number (alpha_{1}frac{V^{M}_{i}V^{W}_{i}}{N_{i}} + beta_{1} frac {V^{M}_{i}D^{W}_{i}}{N_{i}} +alpha_{3} frac{V^{M}_{i}W^{W}_{i}}{N_{i}}) and this number is added to the number of men marrying at the time (i + 1).
