The events of the recent SARS-CoV-02 epidemics have shown the importance of social factors, especially given the large number of asymptomatic TRANS cases that effectively spread the virus, which can cause a medical emergency MESHD to very susceptible individuals. Besides, the SARS-CoV-02 virus survives for several hours on different surfaces, where a new host can contract it with a delay. These passive modes of infection MESHD transmission TRANS remain an unexplored area for traditional mean-field epidemic models. Here, we design an agent-based model for simulations of infection MESHD transmission TRANS in an open system driven by the dynamics of social activity; the model takes into account the personal characteristics of individuals, as well as the survival time of the virus and its potential mutations. A growing bipartite graph embodies this biosocial process, consisting of active carriers TRANS (host) nodes that produce viral nodes during their infectious period TRANS. With its directed edges passing through viral nodes between two successive hosts, this graph contains complete information about the routes leading to each infected individual. We determine temporal fluctuations of the number of exposed and the number of infected individuals, the number of active carriers TRANS and active viruses at hourly resolution. The simulated processes underpin the latent infection MESHD transmissions TRANS, contributing significantly to the spread of the virus within a large time window. More precisely, being brought by social dynamics and exposed to the currently existing infection MESHD, an individual passes through the infectious state until eventually spontaneously recovers or otherwise is moves to a controlled hospital environment. Our results reveal complex feedback mechanisms that shape the dependence of the infection MESHD curve on the intensity of social dynamics and other sociobiological factors. In particular, the results show how the lockdown effectively reduces the spread of infection MESHD and how it increases again after the lockdown is removed. Furthermore, a reduced level of social activity but prolonged exposure of susceptible individuals have adverse effects. On the other hand, virus mutations that can gradually reduce the transmission TRANS rate by hopping to each new host along the infection MESHD path can significantly reduce the extent of the infection MESHD, but can not stop the spreading without additional social strategies. Our stochastic processes, based on graphs at the interface of biology and social dynamics, provide a new mathematical framework for simulations of various epidemic control strategies with high temporal resolution and virus traceability.