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Singular limit analysis of planar equilibrium solutions to a chemotaxis model equation with growth

Singular limit analysis of planar equilibrium solutions to a chemotaxis model equation with growth

We consider the stability of planar localized equilibrium solutions of a chemotaxis model equation with growth term, which describes aggregation of biological individuals.Assuming that the diffusion and chemotactic rates are both very small compared with the growth rate, we introduce a small parameter, say £, into the equation.The asymptotic form …