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_19
Snippet: If γ = 0 (i.e., there is no self-recovery), and 0 ≤p < 1 (i.e., not everybody is quarantined), then for β > 0, P = 0 is the only equilibrium solution. This means if P increases from zero, it can grow without bound and S(∞) = 0, i.e., everybody in the population gets infected. The case of β = 0 is not interesting because the infection does not spread. Finally, if γ = 0 andp = 1, then equation (16) is identically satisfied for every constan.....
Document: If γ = 0 (i.e., there is no self-recovery), and 0 ≤p < 1 (i.e., not everybody is quarantined), then for β > 0, P = 0 is the only equilibrium solution. This means if P increases from zero, it can grow without bound and S(∞) = 0, i.e., everybody in the population gets infected. The case of β = 0 is not interesting because the infection does not spread. Finally, if γ = 0 andp = 1, then equation (16) is identically satisfied for every constant P . Thus, we conclude that a simple yet interesting situation within equation (15) occurs when p = 1 (all infected people display symptoms and are quarantined) and γ = 0 (there is no recovery without displaying symptoms). We will first study this restricted case in some detail, because some analytical progress is possible that provides useful insights.
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