Evolutionary dynamics of single species model with Allee effect

Evolutionary dynamics of single species model with Allee effect
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具有Allee效应的单物种模型的进化动力学

DOI:
10.1016/j.physa.2019.04.010
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发表时间:
2019-07
期刊:
Physica A: Statistical Mechanics and Its Applications
影响因子:
--
通讯作者:
Zhang Tonghua
Zhang Tonghua
中科院分区:
其他
文献类型:
--
作者:
Liu Xia;Fan Guihong;Zhang Tonghua

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通过考虑连续策略进化博弈论(EGT),研究了受加性 Allee 效应影响的单一物种种群。我们假设承载能力和捕食者躲避能力服从高斯分布。这一假设表明,即使人口具有很强的阿利效应,进化也能防止灭绝。竞争表型与反捕食表型的比率对于确定EGT模型的全局动态具有重要影响。数值模拟表明该模型可以有九个均衡,并且该模型具有多个进化稳定策略均衡(ESS)。
By considering a continuous strategy evolutionary game theory (EGT), a single species population subject to additive Allee effect is investigated. We assume that the carrying capacity and predator evasion ability following a Gaussian distribution. This assumption shows that evolution prevents extinction even if population has strong Allee effect. The ratio of competition and anti-predation phenotypes has an important effect on determining global dynamics of the EGT model. The numerical simulations present the model can have nine equilibria, and the model has multiple evolutionarily stable strategy equilibria (ESS).
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