The object of research is to determine the degree of durability of polymer epoxy-based composite samples under the influence of mycellial fungi metabolitic products. Such products have high degree of destructive activity as well as ability to adapt to materials with various chemical compositions. Asbestos-based fillers were used to create durable epoxy-basedpolymer composites. To characterize microbiotic durability rating the following methods were used. Experimental data were used to construct a mathematical model of the durability of epoxy composites. The regression equation is used as an objective function to find the global maximum of the resistance coefficient of the studied composites. The results for composites with fillers are compared with a control sample without filler.  The composition of model environment to influence epoxy-based polymer compositions was determined. The realization of planning matrix provides mathematical of durability for modified epoxy-based polymer compositions. The specific effects of micromycete fungi were determined depending on the content and type of filler. Asbestos-based fillers of various nature derived from industrial waste were shown to be effective in creating durable epoxy-based polymer compositions.