Effect of time delay and evolutionarily stable strategy.
In this paper, a simple two-phenotype model with time delay is investigated. The main results are that: (i) the stability of the interior equilibrium point of the pure strategy model not only depends on the property of the payoff matrix but also the effect of time delay; (ii) the conditions of the evolutionarily stable strategy in the two-phenotype model with time delay are completely identical with the conditions in the two-phenotype model with no time delay; and (iii) a mixed evolutionarily stable strategy can be an unstable equilibrium state of the population in the two-phenotype model with time delay.
Yi
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T
Department of Conservational Biology, Institute of Zoology, Academia Sinica, 19 Zhongguancun Lu, Haidian, Beijing, 100080, P.R. China.
Zuwang
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W
D000818:Animals; D005075:Biological Evolution; D008954:Models, Biological; D010641:Phenotype; D011157:Population Dynamics; D013997:Time Factors