Title: Analysis of a logistic differential model with uncertainty

Authors: Juan J. Nieto, Rosana Rodriguez-Lopez

Addresses: Facultad de Matematicas, Departamento de Analisis Matematico, Universidad de Santiago de Compostela, 15782, Spain. ' Facultad de Matematicas, Departamento de Analisis Matematico, Universidad de Santiago de Compostela, 15782, Spain

Abstract: The Verhulst (or logistic) model is one of the classical models with applications to the study of populations. On the other hand, fuzzy models have experimented a great development in the last years, due to their applications to the modelisation of systems subject to imprecision and to handle uncertainty. In this paper, a fuzzy logistic model is considered and interpreted from different points of view. Solution of the initial value problem associated to the fuzzy logistic differential equation is calculated and compared with the one obtained in the ordinary case.

Keywords: logistic function; logistic models; fuzzy differential equations.

DOI: 10.1504/IJDSDE.2008.019678

International Journal of Dynamical Systems and Differential Equations, 2008 Vol.1 No.3, pp.164 - 176

Published online: 20 Jul 2008 *

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