Between-host, within-host Interactions in Simple Epidemiological Models
summary
Links a Perelson-style within-host viral model to a simple SI between-host model through a logistic environmental reservoir, uses fast-slow separation and algebraic reduction plus simulations to derive coupled R0 expressions. Shows that realistic inoculum shedding can produce multiple endemic equilibria and a backward bifurcation (hysteresis), so lowering between-host R0 below 1 may not eliminate disease; explores how this coupling shifts optimal viral production and affects virulence evolution.
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