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We consider an impact of spreading information about future tax audits on strategies of a population of taxpayers. We suppose that each agent selects the best method of behavior, which depends on the behavior of other agents. Its assumed that all taxpayers pay taxes in accordance with their income, if they know that the probability of an audit is high. Though one share of agents can hide their true...
Many computer viruses cause repeated epidemics of malwares and induce a serious challenge for IT security. IT security needs to apply the countermeasures iteratively during series of epidemic events to stop the propagation process. We consider a modification of Susceptible-Infected-Recovered model with impulses of control and present the model of propagation of two forms of malware. We discuss the...
Tax control is one of the most important tools for the administration of the tax system (fiscal, social, regulatory and control). Tax audit enables to increase the revenue of taxes and fees in the state budget. Assume that each taxpayer can declare his income less then his true income level, however total tax audits of the taxpayers' population is economically unreasonable and even selective tax audits...
The security risks incurred by the spread of malware in computer and wireless networks can be reduced by the immunization of nodes, using security and antivirus patches. Malware, which captures personal and corporate confidential data, induces different damages, including costs generated by the necessity to compensate disclosure of private information, loss of money and social damage caused by loss...
Selection of optimal regime of revaccination is necessary to estimate consequences of hyper- and hypo- immunization of human population. We consider the optimization model with three immunity levels and double inoculation in urban population, which focuses on hyper- and hypo- immunity minimization criterion. We formulate an optimal control problem to find the optimal strategy of revaccination based...
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