Over 10000 scientific studies have been dedicated to mathematical modeling and simulations of biologic systems at all levels of their organization. At the Institute of Cytology and Genetics, Novosibirsk, software tools are being developed for the analysis of the propagation of ideas/opinions in social systems with regard not only to social but also biological (genetic, physiological, and psychological) factors. The consideration of more factors in these models allows better analysis of social processes, more precise predictions, and smarter strategies for process control. Agent-based modeling is an approach that is widely used for these tasks. In the present study, the simple model introduced by Bonabeau (2002) is considered and extended. In the original model, the complex behavior of the system arises on the basis of two different strategies of agent behavior. The extended sociobiological model describes more sophisticated agents with additional characteristics. It allows social and biological submodels to be combined within a common software tool. As the number of agent parameters (dissatisfaction, enmity, and mobility) increases, the dynamic variability of the model increases manifold times. The addition of the dissatisfaction parameter enables an agent to compare his success with other agents, which may be interpreted as self-esteem. The model can be further improved by the addition of various mechanisms of idea and opinion transmission, which will make it possible to model the dissemination of ideas within populations (and, in addition, the spread of diseases, rumors, and any sort of information), to model a heterogeneous distribution of parameters within population, and to consider different topologies of social networks. Nevertheless, even now the “aggressor–defender” model can simulate many social and biological phenomena.