ABSTRACT
This concluding chapter synthesizes a number of topics introduced previously before it concludes by presenting a famous fable for Ph.D. graduate students and their thesis advisors. Those topics include: Segel's pioneering work on ecological diffusive instabilities and slime mold aggregation; a description of how Bonni and I published our Springer textbook on comprehensive applied mathematical modeling; the employment of an approximation for the magnitude of the gradient in the evolution equation for ion-sputtering erosion deduced in Chapter 9, which converts that damped Kuramoto-Sivashinsky equation into a modified Swift-Hohenberg equation of the form employed in Chapter 10 and the results of a rhombic planform nonlinear stability analysis of the latter, performed by Bonni and me in conjunction with her undergraduate students; and the introduction of chemotactic and dispersal spatial effects into the target cell-noncytopathic viral model of Chapter 16 and the results of a longitudinal planform nonlinear stability analysis performed on that interation-diffiusion system performed by Bonni and me in conjunction with Richard Cangelosi. It closes with the fable entitled The Rabbit, the Fox, and the Wolf that, rather than identifying what Rabbit is being Pulled Out of a Hat as in the rest of the book, identifies what the Rabbit Pulls Out of the Hat instead.
