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具有时滞和脉冲捕获、污染物脉冲输入的捕食-食饵-环境模型
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作者 章培军 王震 陈恒 《工程数学学报》 CSCD 北大核心 2020年第6期731-741,共11页
本文建立了污染环境中,捕食者具有阶段结构、食饵具有脉冲收获、污染物具有脉冲输入的时滞捕食-食饵-环境模型,利用离散动力系统的频闪映射和比较原理,得到了捕食者灭绝周期解的全局吸引性和系统持久性的充分条件.通过数值仿真,研究了... 本文建立了污染环境中,捕食者具有阶段结构、食饵具有脉冲收获、污染物具有脉冲输入的时滞捕食-食饵-环境模型,利用离散动力系统的频闪映射和比较原理,得到了捕食者灭绝周期解的全局吸引性和系统持久性的充分条件.通过数值仿真,研究了食饵的捕获、污染物的脉冲输入和脉冲作用周期对捕食者灭绝和持续生存的影响,同时也验证了理论结果.对生物资源的开发、种群数量的收获及环境的控制提供了宝贵的理论依据. 展开更多
关键词 脉冲捕获 阶段结构 污染脉冲输入 捕食-食饵-环境模型 灭绝周期解 持久性
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污染环境中种群的进化研究
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作者 宋乐 刘兵 王新 《生物数学学报》 2019年第2期250-256,共7页
本文研究脉冲排放污染时对周围单种群生物表型特征进化的影响,首先建立具有表型特征的生物进化模型其次采用临界函数分析方法,得到产生进化稳定、收敛稳定及进化分支的条件.最后,通过数值模拟给出连续稳定时进化奇异点与脉冲周期、输入... 本文研究脉冲排放污染时对周围单种群生物表型特征进化的影响,首先建立具有表型特征的生物进化模型其次采用临界函数分析方法,得到产生进化稳定、收敛稳定及进化分支的条件.最后,通过数值模拟给出连续稳定时进化奇异点与脉冲周期、输入毒素的量的关系. 展开更多
关键词 脉冲污染 进化稳定 连续稳定 进化分支
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一类污染环境中非自治捕食食饵系统的持续生存与灭绝 被引量:3
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作者 祁延超 刘兵 张丽霞 《生物数学学报》 CSCD 北大核心 2011年第3期497-503,共7页
研究了一类脉冲排放污染环境中受到人类外界干扰作用的非自治捕食食饵系统的动力学性质,利用脉冲微分方程相关理论和分析的方法给出所提出模型的持续生存与灭绝的充分条件.
关键词 非自治捕食食饵系统 脉冲排放污染 持续生存与灭绝
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Study of two-nutrient and two-micro-organism chemostat model with pulsed input in a polluted environment 被引量:2
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作者 Jianwen Jia Tingting Lv 《International Journal of Biomathematics》 2015年第4期1-15,共15页
In this paper, a model of Beddington-DeAngelies chemostat involving two species of micro-organism competing for two perfectly complementary growth-limiting nutrients and pulsed input of toxicant in the polluted enviro... In this paper, a model of Beddington-DeAngelies chemostat involving two species of micro-organism competing for two perfectly complementary growth-limiting nutrients and pulsed input of toxicant in the polluted environment was studied. Using Floquet theory and small amplitude perturbation method, a conclusion was that there exists twomicro-organism eradication periodic solution and which is global asymptotical stability. At the same time, the condition of the permanence for system was obtained. From the biological point of view, the method for protecting species is to improve the amount of impulsive period, and control the amount of toxicant input to the chemostat. Finally, our results are illustrated by numerical simulations. 展开更多
关键词 CHEMOSTAT IMPULSIVE globally asymptotically stable persistence.
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Dynamics of a stage-structured single population system with winter hibernation and impulsive effect in polluted environment 被引量:1
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作者 Jianjun Jiao Shaohong Cai +1 位作者 Yujuan Zhang Limei Li 《International Journal of Biomathematics》 2016年第5期277-294,共18页
In this work, we construct a stage-structured single population system with winter hiber- nation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultima... In this work, we construct a stage-structured single population system with winter hiber- nation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultimately bounded. The conditions of the population- extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results indicate that the environmental pollution will reduce biological diversity of the natural world. Our results also provide reliable tactic basis for the practical biological resource management. 展开更多
关键词 Stage-structured single population system winter hibernation impulsive effect population-extinction permanence.
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