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Published on: September 12, 2016
Analysis of an environmental epidemic model based on voluntary vaccination policy
Ke-Lu Li1, Jun-Yuan Yang2,3, Xue-Zhi Li1,4
1School of Mathematics and Information Science, Henan Normal University, Xinxiang, China.
Abstract:
With the worsening of the environment and the increasing international trade, indirect transmission from exposure to contaminants in the surrounding environment has become an overlooked mode of transmission. This paper proposes a new game-theoretic model considering voluntary vaccination against imperfection and the unique integration of human-to-human and virus-to-human transmission routes. Based on the individual-based risk assessment update rule (IB-RA), the strategy-based risk assessment update rule (SB-RA), and the direct commitment update rule (DC), the different effects of individuals' behaviors on disease prevalence are analyzed. To find the effect of indirect transmission on epidemic transmission, we compare our model with the traditional SVIR model. Finally, it can be seen that indirect transmission mechanisms will aggravate the spread of epidemics.
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