# On Nonlinear Waves in the Spatio-Temporal Dynamics of Interacting Populations

@inproceedings{Jordanov2012OnNW, title={On Nonlinear Waves in the Spatio-Temporal Dynamics of Interacting Populations}, author={Ivan P. Jordanov and Elena Nikolova}, year={2012} }

Abstract In this paper the spatial-temporal dynamics of the members of interacting populations is described by means of nonlinear partial differential equations. We consider the migration as a diffusion process influenced by the changing values of the birth rates and the coefficients of interaction between the populations. The general model is reduced to analytically tractable partial differential equations (PDE) with polynomial nonlinearity up to third order for the particular case of one…

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