Review of Population Dynamics with Nonlinear Diffusion, by David Perry, Jessica Schaefer, Brian Schilling, Matthew Williams.
The paper is a mathematical analysis of a particular class of reaction diffusion differential equations arising in population dynamics.
The paper is well written, highly technical both in mathematical content and use of terminology and appears to be sound. Specialist already familiar with this area of research are likely to find it interested, but not being familar with this area I can not be sure of this.
I did not find this paper as interesting as others I have reviewed in the past. The main problem is the introduction and conclusion sections are far too brief. There was little to motivate the nonspecialist reader to spend the considerable effort needed to digest the results. Instead, readers are simply pointed to references. A better outline of the results presented in the paper should be provided in the introduction to point the reader to the key results.
While the paper is acceptable for publication as is, a more inspired, less technical introduction and conclusion section would increase the number of people who read this paper.