We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see text], and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7717045 | PMC |
| http://dx.doi.org/10.1007/s00285-020-01547-1 | DOI Listing |
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