Table 2 Classification of travelling wave solutions arising from different classes of PDEs with Fisher kinetics.

From: Co-operation, Competition and Crowding: A Discrete Framework Linking Allee Kinetics, Nonlinear Diffusion, Shocks and Sharp-Fronted Travelling Waves

Diffusivity function classification

Travelling wave

Front type

Direction

Constant

Yes

Smooth

Positive

Strictly positive

Yes

Smooth

Positive

Extinction-degenerate non-negative

Yes

Sharp

Positive

Positive-negative-positive

Yes

Smooth

Positive

Capacity-degenerate positive-negative

Yes

Smooth

Positive

Positive-negative

Yes

Smooth

Positive

  1. Bold entries refer to cases analysed in detail in the manuscript; the other cases are analysed in the Supplementary Material.
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