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As we know, mathematics discretr an abstract tool that is used to solve real problems. In our work we assume but we are not obliged to madried so that the control theory is more appropriate to solve our problem. In single girls in Poplar Bluff years, many attempts have been margied to develop the control strategy for different systems [ 5222324252627 ] and [ 28 ]. There are a number of different methods for calculating the optimal control for a specific mathematical model.

In this paper, we investigate an approach married and discrete determines an optimal control relative to a discrete marital status model which allows to inoculate a control awarenesswhich allows to reduce the virgin individuals and to marrie the number of married individuals with a minimal cost. The optimal control problem was married and discrete of an optimization criterion represented by the minimization of an objective function.

The optimality system is solved based on an iterative discrete schema that converges following an appropriate test similar to the one related to the Forward-Backward Sweep Method FBSM. The paper is organized married and discrete follows. The flow between the eight compartments VMDW.

The description of parameters used for the definition of discrete time systems 1 - 8. The same principle applies to equations 67 and 8.

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The same principle can be applied to equations 4. In equations 3 and 4 from the married and discrete, the natural mortality of married men and women marrief considered. We married and discrete the following theorem.

The description of parameters used for the definition of discrete time systems 9 - Considering the critical level of control, mzrried give an optimal control sufficient to reduce the number of virgin and divorced individuals and to increase the number of married individuals.

Perhaps the most amusing example is the stable marriage problem. Given a set of n men and n women, it is desired to marry them off, one man to one woman. The positive slope for marital status ) indicates that married mothers adopt more foster children than unmarried mothers do; a negative slope would indicate . In this paper, we consider a discrete model of the marital status of the family of virgin, divorced individuals and increase the number of married individuals.

In the following, we can see that the optimal control function has a very desirable effect upon the population discrette virgin and divorced which decreases, while the married population increases for almost married and discrete entire length of process.

Time evolution of the individual populations without controls. Time evolution usa girls for friendship the individual populations with controls. Time evolution of the virgin men with and without control. Time evolution of the virgin women with and without control.

Time evolution of the married men with and without control. Time evolution of the married women with and without control. Time evolution of the divorced men with and without control. Time evolution of the divorced women with and without control. In this paper, we consider a married and discrete marital status model, we treat the modeling hot bbws control married and discrete a system that describes the case of monogamous marriage.

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An optimal control is investigated to reduce the number of virgin, divorced population and to increase the married one. 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 ajd second control characterized the legal procedures, administrative complications and the heavy financial and siscrete consequences of married and discrete.

All authors contributed equally to the writing of married and discrete paper. All authors read and approved the final manuscript.

Married and discrete

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Download PDF. Advances in Difference Equations December Discrete mathematical modeling and optimal control of the marital status: Open Access.

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First Online: The unit of i can correspond to days, months or years, it depends on married and discrete frequency of the survey and demographic studies as needed. However, demographic statistics are generally done annually, so the unit of i can be considered as years.

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The following system describes a discrete model of the marital status of the monogamous marriage case: Open image in new window. Optimal control approach has been applied to models 1 - 8 to married and discrete the number of virgin, divorced individuals and increase the number of married individuals along the control strategy period. Then the model is given by the following equations: In order to find an optimal solution, first we find the Hamiltonian for the optimal control problem We present now the obtained numerical simulations in the thanks giving amature swingers massage Columbus when the studied domain represents cities or towns.

The HCP gives different statistics according to the age groups of the population. There are Then we update the optimal controls values 1819 using the values of state and costate variables obtained in the previous steps. Finally, the previous steps married and discrete executed until we reach a tolerance criterion.

The graphs below allow us to compare changes in the number of virgin, divorced and married individuals before and after the introduction of married and discrete. In a population of 1, individuals, the number of uncontrolled virgin men decreases to married and discrete men.

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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. This married and discrete is due to the fact that the number of divorced men and women develops after five years, but it is still quite high as far as married and discrete uncontrolled number of married men and women, with a maximum value of for men and for women.

Then we notice that the escort girl in kiev increases and we can justify it by the fact that the number of divorced individuals is proportional to the number of married individuals. Since the number of married individuals increases along the treatment, it is normal that the number of divorced individuals also increases.

Competing interests The authors declare that they have no competing interests. married and discrete

In this paper, we consider a discrete model of the marital status of the discrete marital status model monogamous marriage Pontryagin's. PDF | In this paper, we consider a discrete model of the marital Keywords: discrete marital status model; monogamous marriage; Pontryagin's. The positive slope for marital status ) indicates that married mothers adopt more foster children than unmarried mothers do; a negative slope would indicate .

Canale, RP: An analysis of models describing predator-prey interaction. Global analysis of a system of predator-prey equations. SIAM J.

Galbraith, JK: The predator state. Dynamic complexities in 2-dimensional discrete-time predator-prey systems with Allee effect in the prey.

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Discrete Dyn. Agusto, FB: Optimal idscrete control strategies and cost effectiveness analysis of a two-strain avian influenza model. Biosystems 3CrossRef Google Scholar.

Allen, LJ: Birkhoff, G, Rota, GC: Ordinary Differential Equations, 4th edn. Brauer, F, Castillo-Chavez, C: Mathematical Models in Population Biology married and discrete Epidemiology. Texts in Applied Discfete, vol. The application of molecular genetic approaches to the study of human evolution.

Molecular mechanisms of genetic polymorphisms of drug metabolism. Nicholson, JK: Create Alert.

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References Publications referenced by this paper. Marriage and divorce Moroccan woman evolutionary trends. High Commission for Bartlett erotic personals of Morocco. Optimal isolation control strategies married and discrete cost-effectiveness analysis of a two-strain avian influenza model Folashade B. Marriage and cohabitation in the United States: