Publications
Anthology contribution
- Guias, Flavius 2023. Epidemic models with several levels of immunity. In Quantitative demography and health estimates. The Springer series on demographic methods and population analysis. Cham: Springer, 163–174.
- Guias, Flavius 2022. Stochastic Runge-Kutta Solvers Based on Markov Jump Processes and Applications to Non-autonomous Systems of Differential Equations. In Data analysis and related applications, 1. Big data, artificial intelligence and data analysis set. London ; Hoboken, NJ: John Wiley & Sons, 199–206.
- Guias, Flavius 2017. Stochastic Picard-Runge-Kutta solvers for large systems of autonomous ordinary differential equations. In 2017 fourth International Conference on Mathematics and Computers in Science and Industry - MCSI 2017 : Corfu, Greece, 24-27 August 2017 : proceedings. Piscataway, NJ: IEEE, 289–302.
Journal article
- Guias, Flavius 2023. Equilibrium Solutions of a Modified SIR Model with Vaccination and Several Levels of Immunity. WSEAS Transactions on Systems and Control 18, 550–560. https://wseas.com/journals/sac/2023/b165103-036(2023).pdf.
- Guias, Flavius 2022. On efficacy and effectiveness of vaccines. Spora : a journal of biomathematics 8 (2022), 56–60.
- Guias, Flavius 2020. Numerical simulation of a modified SIR model fitting statistical data for COVID-19. WSEAS transactions on computer research 8 (2020), 115–125.
- Guias, Flavius 2020. Effects of the reproduction number in a SEIIRD model describing the time evolution of COVID-19 at country level. WSEAS transactions on computer research 19 (2020), 292–297.
- Guias, Flavius 2017. Numerical solvers for large systems of ordinary differential equations based on the stochastic direct simulation method improved by the Picard and Runge-Kutta principles. International journal of mathematics and computers in simulation 11 (2017), 93–99.
- Guias, Flavius & Eremeev, Pavel 2016. Improving the stochastic direct simulation method with applications to evolution partial differential equations. Applied mathematics and computation 289, 353–370.