A predator-prey SIR type dynamics on large complete graphs with three phase transitions

Abstract

We study a variation of the SIR (Susceptible/Infected/Recovered) dynamics on the complete graph, in which infected individuals may only spread to neighboring susceptible individuals at fixed rate λ > 0 while recovered individuals may only spread to neighboring infected individuals at fixed rate 1. This is also a variant of the so-called chase-escape process… (More)

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