Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model
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DOI: 10.1016/j.chaos.2020.109639
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- Chen-Charpentier, B.-M. & Cortés, J.-C. & Licea, J.-A. & Romero, J.-V. & Roselló, M.-D. & Santonja, Francisco-J. & Villanueva, Rafael-J., 2015. "Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 113-129.
- Calatayud, J. & Cortés, J.-C. & Jornet, M., 2018. "The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 261-279.
- Slama, Howida & Hussein, A. & El-Bedwhey, Nabila A. & Selim, Mustafa M., 2019. "An approximate probabilistic solution of a random SIR-type epidemiological model using RVT technique," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 144-156.
- Dorini, F.A. & Cunha, M.C.C., 2011. "On the linear advection equation subject to random velocity fields," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 679-690.
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Keywords
Complex model with uncertainties; Random differential equation; Probability density function; Stochastic polynomial expansion; RVT technique; SIR epidemic model;All these keywords.
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