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

• Published in: Communications in nonlinear science & numerical simulation Vol. 72; pp. 121 - 138
• Main Authors: Cortés, J.-C., Navarro-Quiles, A., Romero, J.-V., Roselló, M.-D.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 30.06.2019; Elsevier Science Ltd
• Subjects: 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

•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...