Wave trains in a model of gypsy moth population dynamics

J. W. Wilder, D. A. Vasquez, I. Christie, J. J. Colbert

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

3 Citas (Scopus)


A recent model of gypsy moth [Lymantria dispar (Lepidoptera: Lymantriidae)] populations led to the observation of traveling waves in a one-dimensional spatial model. In this work, these waves are studied in more detail and their nature investigated. It was observed that when there are no spatial effects the model behaves chaotically under certain conditions. Under the same conditions, when diffusion is allowed, traveling waves develop. The biomass densities involved in the model, when examined at one point in the spatial domain, are found to correspond to a limit cycle lying on the surface of the chaotic attractor of the spatially homogeneous model. Also observed are wave trains that have modulating maxima, and which when examined at one point in the spatial domain show a quasiperiodic temporal behavior. This complex behavior is determined to be due to the interaction of the traveling wave and the chaotic background dynamics.

Idioma originalInglés
Páginas (desde-hasta)700-706
Número de páginas7
EstadoPublicada - 1995
Publicado de forma externa


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