This paper studies the evolutionary prisoner's dilemma game (PDG) in finite dynamic scale-free networks, where the dynamic property is fulfilled by considering an epidemic process in networks. When a person is in infected state, he will not play PDG. Only healthy persons play PDG with their healthy neighbors. Our simulations show that (ⅰ) the ratio of healthy persons, R_s, depends not only on the spreading rate λ, but also on the recovery rate δ; (ⅱ) The relationship between cooperation behaviors and the spreading rate λ depends on the value of δ; (ⅲ) Given the same value of R_s and payoff parameter b, the cooperation frequency f changes with δ; (ⅳ) Some curves of f against R_s are monotonic while others are non-monotonic. We have qualitatively explained results (ⅱ)-(ⅳ) through competition mechanism of cooperation enhancement effect and cooperation suppression effect. Our work sheds some lights on the important effect of dynamic topology on evolutionary game.
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