Author: Chandrika Prakash Vyasarayani; Anindya Chatterjee
Title: New approximations, and policy implications, from a delayed dynamic model of a fast pandemic Document date: 2020_4_14
ID: ca92pbvi_80
Snippet: The advantage of using an asymptotic method like the method of multiple scales is that we have formal validity as → 0. We are reassured that the solution we are seeking does in fact exist, and has approximately the shape obtained as the leading order approximation. However, in the present case, for somewhat larger the solution is not very accurate; moreover, proceeding to higher orders leads to long expressions that seem difficult to simplify u.....
Document: The advantage of using an asymptotic method like the method of multiple scales is that we have formal validity as → 0. We are reassured that the solution we are seeking does in fact exist, and has approximately the shape obtained as the leading order approximation. However, in the present case, for somewhat larger the solution is not very accurate; moreover, proceeding to higher orders leads to long expressions that seem difficult to simplify usefully. Therefore, encouraged by our asymptotic solution, we now develop a more informal but more accurate approximation. In particular, we try a long-wave (LW) approximation as follows.
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