Author: Joe Pharaon; Chris T. Bauch
Title: The Influence Of Social Behavior On Competition Between Virulent Pathogen Strains Document date: 2018_4_4
ID: 6s27v6at_5
Snippet: More formally, the preceding imitation dynamic (or equivalently, replicator dynamic) assumes that each 118 individual samples others as a fixed rate, and if another person is found to be playing a different strategy 119 but is receiving a higher payoff, the individual switches to their strategy with a probability proportional 120 to the expected gain in payoff [36] . These assumptions give rise to a differential equation of the form 121 dx/dt = k.....
Document: More formally, the preceding imitation dynamic (or equivalently, replicator dynamic) assumes that each 118 individual samples others as a fixed rate, and if another person is found to be playing a different strategy 119 but is receiving a higher payoff, the individual switches to their strategy with a probability proportional 120 to the expected gain in payoff [36] . These assumptions give rise to a differential equation of the form 121 dx/dt = kx(1 − x)∆U where k is the sampling rate and ∆U is the payoff difference between the two 122 strategies. This equation is derived elsewhere and is used in other socio-ecological and socio-epidemiological 123 models [35, 37, 38, 39 ]. The augmented system of differential equations representing the coupled social-124 epidemiological SI 1 I 2 RX model with adaptive human behaviour is therefore given by:
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