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

•Random non-autonomous logistic-type differential equations are studied.•Random Variable Transformation method and Karhunen–Love expansion are combined.•First probability density function of the solution stochastic process is determined.•Numerical simulations for the mean, variance and PDF of the so...

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Vydáno v:	Communications in nonlinear science & numerical simulation Ročník 72; s. 121 - 138
Hlavní autoři:	Cortés, J.-C., Navarro-Quiles, A., Romero, J.-V., Roselló, M.-D.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 30.06.2019 Elsevier Science Ltd
Témata:	Differential equations Diffusion Diffusion coefficient First probability density function Karhunen–Loève expansion Logistics Mathematical analysis Nonlinear stochastic processes Probability Probability density functions Random logistic differential equation Random Variable Transformation technique Random variables Statistical analysis Stochastic models Stochastic processes Transformations (mathematics) Variables Random Variable Transformation technique First probability density function Nonlinear stochastic processes Random logistic differential equation Karhunen–Loève expansion
ISSN:	1007-5704, 1878-7274
On-line přístup:	Získat plný text
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