Interval Type-2 Fuzzy Cellular Model Applied to the Dynamics of a Uni-specific Population Induced by Environment Variations Cecilia Leal-Ramirez 1 , Oscar Castillo 2 , and Antonio Rodriguez-Diaz 1 1 Facultad de Ciencias Quimicas e Ingenieria, Universidad Autonoma de Baja California, Tijuana, BC, 22390 Mexico cleal@cicese.mx,ardiaz@uabc.mx 2 Division de Estudios de Posgrado e Investigacion, Instituto Tecnologico de Tijuana, Tijuana, BC, 22414 Mexico ocastillo@hasfamx.org Abstract. As part of the research about the applicability of the Fuzzy Cellular Models (FCM) to simulate complex dynamics ecological systems, this paper presents an Interval Type-2 Fuzzy Cellular Model (IT2-FCM) applied to the dynamics of a uni-specific popula- tion. In ecology is known that in the dynamics of all population, the reproduction, mortality and emigration rates are not constants, and its variability is induced by a combination of environment factors. All kind of populations that are living together in a determinate place, and the physical factors which they interact with, compose a community. Each population o physical factor inside has its own dynamics, which also presents uncertainty given by com- bined effects among other environment factors inside the same community. In our model this uncertainty is represented by interval type-2 fuzzy sets, with the goal of show whether the trajectories described by the dynamics of the population present a better stability in the time and space. The validation of the model was made within a comparative frame using the results of another research where a FCM were used to describe the dynamics of a population. 1 Introduction In nature all populations living together in a determined space and the environment physical factors with which they interact compose a community. The populations and physical factors have its own dynamics, which depend of the dynamics of many other populations or factors of the same community. Therefore, fluctuations in the size of a population can have deep effect on other species [2]. The representation of this system by means of mathematical models is a quite complicated task because in any community there are many variables involucrate and all of them are full of uncertainty. The creation of a great variety of mathematical models on the dynamics of pop- ulations has been the main objective of the ecology in the last two hundred years [15]. The formulation of the models is focused specifically to the acquisition of new knowledge from the mathematical development, which allows to draw greater conclusions and to obtain more complete results. Nevertheless, the fundamental and P. Melin et al. (Eds.): Bio-inspired Hybrid Intelligent Systems, SCI 256, pp. 33–47. springerlink.com c  Springer-Verlag Berlin Heidelberg 2009