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Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loeve expansion and the Random Variable Transformation technique

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (Elsevier, 2019)

[EN] This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random variable and the diffusion coefficient ...
Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (John Wiley & Sons, 2019-11-19)

[EN] In this paper, we address the problem of approximating the probability density function of the following random logistic differential equation: P-'(t,omega)=A(t,omega)(1-P(t,omega))P(t,omega), t is an element of[t(0),T], ...
Solving Riccati time-dependent models with random quadratic coefficient

Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte Altuzar, Laura (Elsevier, 2011-12)

This paper deals with the construction of approximate solutions of a random logistic differential equation whose nonlinear coefficient is assumed to be an analytic stochastic process and the initial condition is a random ...

Mostrando ítems 1-3 de 3