The CoSysM3 project aims to contribute to scientific advances in the mathematical modeling of behavioral epidemiology by building new hybrid models and generalizing results and methods from systems and control theory through their application to infectious and autoimmune diseases. The mathematical challenges we propose, applied to human diseases, are aligned with Goals 3 and 4 of the 2030 Agenda - Good Health and Well-being and Quality Education. Theoretical and numerical results will be proven, providing solutions to control the spread of epidemics and the effective treatment of some autoimmune diseases. We propose to develop a new approach to the construction of hybrid models that will allow the simulation of complex epidemic scenarios and their control. CoSysM3 is a research project in Biomathematics, with an emphasis on human diseases, and will contribute to the introduction of Applied Mathematics topics in the 1st, 2nd, and 3rd cycles of study, in line with Goal 4 of the 2030 Agenda - Quality Education. Mathematical tools will be used to study biological processes and provide optimal solutions for the prevention and treatment of human diseases. The main topics of mathematical research in this project are differential equation theory (ordinary, partial, and fractional), optimal control theory, dynamical systems theory, statistical methods, computational methods, and numerical simulations. The main objectives of the project are detailed in its four tasks: impact of human behavior on the control of infectious diseases; new generation of hybrid models - computational temporal automata and their validation; multiscale modeling of autoimmune diseases; optimal control and applications to human diseases. CoSysM3 aims to study the inclusion of human behavior in epidemiological models. New challenges arise in controlling disease transmission due to behavioral changes in the population. One example is vaccine refusal, which is closely linked to the perception of low risk ...