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We developed a simple mathematical model to describe criminality and thejustice system composed of the police investigation and court trial. The modelassessed two features of organized crime -- the cost-benefit analysis done bythe crime-susceptible to commit a crime and the whistleblowing of the lawoffenders. The model was formulated considering the mass action law commonlyused in the disease propagation modelings, which can shed light on the model'sanalysis. The crime-susceptible individuals analyze two opposing forces --committing crime influenced by the law offenders not caught by police neitherimprisonment by the court trial (benefit of enjoying the corruption incoming),and the refraction to commit crime influenced by those caught by police orcondemned by a court (cost of incarceration). Moreover, we assessed the dilemmafor those captured by police investigation to participate in the rewardingwhistleblowing program. The model was applied to analyze the "car washoperation" against corruption in Brazil. The model analysis showed that thecost-benefit analysis of crime-susceptible individuals whether the act ofbribery is worth or not determined the basic crime reproduction number(threshold); however, the rewarding whistleblowing policies improved the combatto corruption arising a sub-threshold. Some adopted mechanisms to control theCovid-19 pandemic shed light on understanding the "car wash peration" andthreatens to the fight against corruption. Appropriate coverage of corruptionby media, enhancement of laws against white-collar crimes, well-functioningpolice investigation and court trial, and the rewarding whistleblowing policiesinhibited and decreased the corruption.

A model-based assessment of the cost-benefit balance and the plea  bargain in criminality -- A qualitative case study of the Covid-19 epidemic  shedding light on the "car wash operation" in Brazil