具有强Allee效应的2-物种的囚徒困境博弈

doi:10.6040/j.issn.1671-9352.0.2014.467

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (11): 98-103.doi: 10.6040/j.issn.1671-9352.0.2014.467

具有强Allee效应的2-物种的囚徒困境博弈

张瑞玲¹, 王万雄^1,2, 秦丽娟^1,2

1. 甘肃农业大学资源与环境学院, 甘肃兰州 730070;
2. 甘肃农业大学理学院, 甘肃兰州 730070

收稿日期:2014-10-22 修回日期:2015-08-22 出版日期:2015-11-20 发布日期:2015-12-09
通讯作者: 王万雄(1964-),男,教授,博士生导师,研究方向为数学生态学及模型模拟.E-mail:wangwx@gsau.edu.cn E-mail:wangwx@gsau.edu.cn
作者简介:张瑞玲(1989-),女,硕士研究生,研究方向为理论生态学.E-mai:yimeikuyedie@hotmail.com
基金资助:
国家自然科学基金资助项目"甘南红景天濒危的生殖生态学机理研究"(31360148);国家自然科学基金资助项目"祁连山区草场毒杂草的入侵扩散机理、时空动态演化特征及生态控制研究"(31260098);甘肃省自然科学基金资助项目"基于计算机模拟的种群模型时空动态复杂性研究"(1208RJYA037)

Prisoner's dilemma game of two-species with the strong Allee effect

ZHANG Rui-ling¹, WANG Wan-xiong^1,2, QIN Li-juan^1,2

1. College of Resources and Environmental Science, Gansu Agricultural University, Lanzhou 730070, Gansu, China;
2. College of Science, Gansu Agricultural University, Lanzhou 730070, Gansu, China

Received:2014-10-22 Revised:2015-08-22 Online:2015-11-20 Published:2015-12-09

摘要/Abstract

摘要： 将强Allee效应引入2-物种的囚徒困境博弈,建立具有强Allee效应的囚徒困境博弈,对没有Allee效应与具有Allee效应的2-物种博弈模型分别进行了数值模拟分析。模拟结果表明:Allee效应显著地影响了合作和欺骗的物种关系。具有Allee的欺骗种群灭绝,且随着Allee效应强度的增强,灭绝时间提前。具有Allee效应的合作种群在其死亡率较小时,Allee效应对合作种群影响不大,但增强Allee效应强度,仍然会导致物种灭绝。Allee效应也会导致两物种都灭绝,且欺骗种群先于合作种群灭绝。通过模拟图分析可知,利用脉冲增加物种的出生率可以实现两物种共存,研究结果对物种多样性保护及自然保护区建设具有重要的理论指导意义。

关键词: Allee效应, 囚徒困境博弈, 合作种群, 欺骗种群, 种群死亡率

Abstract: The strong Allee effect is introduced into the prisoner's dilemma game of two-species to establish the prisoner's dilemma game with strong Allee effect. Numerical simulation is used to investigate the game of two-species without Allee effect and with Allee effect. The results show that, Allee effect significantly affects the relationship of cooperation and deception. The defection population will be extinction under the Allee effect, and extinct more and more earlier while the Allee effect is more and more stronger. The influence of Allee effect is not large on the cooperation population when the death rate of cooperation population is relatively lesser. However, the species will be extinction when the Allee effect of cooperation population is increased. The Allee effect will also lead the two-species to extinct, and the defection population is extinction before the cooperation population. Through the analysis of simulation diagram, two-species can achieve coexistence with impulsive increasing the birth rate of species. The results have important theoretical guidance to protect the species diversity and build the nature reserve.

Key words: cooperation population, death rate, Allee effect, defection population, prisoner's dilemma game

中图分类号:

Q141

张瑞玲, 王万雄, 秦丽娟. 具有强Allee效应的2-物种的囚徒困境博弈[J]. 山东大学学报（理学版）, 2015, 50(11): 98-103.

ZHANG Rui-ling, WANG Wan-xiong, QIN Li-juan. Prisoner's dilemma game of two-species with the strong Allee effect[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(11): 98-103.

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具有强Allee效应的2-物种的囚徒困境博弈

Prisoner's dilemma game of two-species with the strong Allee effect

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