Computer model of differential-symbolic risk assessment of projects to improve the health of the community population
Authors: Malanchuk Oksana M. , Тryhuba Аnatoliy M. , Тryhuba Inna L. , Sholudko Roksolana Ya. 
Published: December 2024

The article presents the results of developing a computer model for differential symbolic risk assessment of community health
improvement projects. Traditional approaches and methods, such as expert opinions or statistical models, have limitations regarding
the accuracy of risk prediction and adaptation to changing conditions of the project environment. The proposed computer model uses
a system of differential equations that describe the dynamics of key project indicators, such as public participation in activities, the
effectiveness of educational and vaccination measures, budget changes, and their impact on overall risk. This model allows assessing
risks taking into account the studied project dynamics, promptly adjusting management decisions, and reducing deviations from the
planned indicators. To implement the proposed model, an algorithm has been developed that includes several stages: initialization of
variables, construction of a system of differential equations, their numerical solution by the Euler method, risk assessment, and realtime updating of parameters. Based on the developed algorithm, which involves 9 steps, a computer model has been created, which
will be further integrated into a decision support system for project managers. The proposed computer model is written in the Python
programming language using libraries for solving differential equations, optimization, and visualization of results that implement the
proposed mathematical model. This computer model allows project managers to simulate risks, analyze their impact on project
performance, and generate recommendations for managing resources and minimizing risks. The developed computer model was
tested on the example of real community health improvement projects. For the community vaccination project, the computer model
showed a forecasting accuracy of 97.14%, which exceeds the figure for the use of expert estimates (92.86%). In an educational
project to promote healthy lifestyles among the community population, the accuracy of the computer model is 90.00% compared to
88.00% when using the method of expert judgment. The risk assessment showed that the use of the differential-symbolic model can
reduce the risk level to 2.86% in the community vaccination project and 10.0% in the community health education project. At the
same time, traditional methods showed risks of 7.14 % and 12.00 %, respectively. The computer model also proved to be adaptable
to the changing project environment, which included an increase in project duration or a decrease in the available budget. The
proposed computer model integrates functionality for parameter input, numerical risk calculation, visualization of results, and
generation of recommendations. The interface of the computer model is designed in such a way as to provide convenience for project
managers, even in conditions of high complexity of input data. The obtained results confirm that the developed computer model for
differential symbolic risk assessment of community health improvement projects is an effective tool for project management. The use
of the model allows not only to improve the accuracy of risk forecasting but also to ensure efficient resource allocation.