title: Voluntary vaccination strategy and the spread of sexually transmitted diseases.
abstract: In this work, we investigate the spread and control of sexually transmitted diseases when a game-theory based vaccination strategy is involved. An individual's decision on vaccination uptake may follow a cost-benefit analysis since the individual obtains immunity against the disease from the vaccination and, at the same time, may have some perceived side effects. Evolutionary game theory is integrated into the epidemic model to reveal the relationship between individuals' voluntary decisions on vaccination uptake and the spread and control of such diseases. We show that decreasing the perceived cost of taking vaccine or increasing the payoff from social obligation is beneficial to controlling the disease. It is also shown how the "degree of rationality" of males and females affects the disease spread through the net payoff of the game. In particular, individual awareness of the consequences of the disease on the infectives also contributes to slowing down the disease spread. By analyzing an asymmetric version of our evolutionary game, it is shown that the disease is better controlled when individuals are more sensitive to fitness differences when net payoff is positive than when it is negative.
authors.affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada. Electronic address: fxu.feixu@gmail.com.
authors.forename: Fei
authors.initials: F
authors.lastname: Xu
authors.affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada. Electronic address: rcressman@wlu.ca.
authors.forename: Ross
authors.initials: R
authors.lastname: Cressman
mesh_terms: D050936:Basic Reproduction Number; D003362:Cost-Benefit Analysis; D003657:Decision Making; D058872:Epidemics / Q000517:prevention & control; D005260:Female; D005716:Game Theory; D006801:Humans; D008297:Male; D032541:Mass Vaccination / Q000523:psychology* / Q000706:statistics & numerical data; D055641:Mathematical Concepts; D008954:Models, Biological; D012749:Sexually Transmitted Diseases / Q000453:epidemiology / Q000517:prevention & control* / Q000523:psychology
keywords: Basic reproduction number; Epidemic model; Sexually transmitted diseases; Smoothed best response; Vaccination strategy