The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding sto...The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding stochastic and impulse. For the stochastic model without impulses, the existence and uniqueness of solution, and the existence of positive periodic solutions are proved, and a sufficient condition for strategy extinction is given. For the stochastic model with impulses, the existence of positive periodic solutions is proved. Numerical results show that noise and impulses directly affect the model, but the periodicity of the model does not change.展开更多
冷空气堆积(cold air damming,CAD)是低层冷空气受地形阻挡产生的一种中尺度天气现象,北半球通常发生在山脉的东侧,造成云量增加、温度降低以及降水类型和降水落区的改变。CAD全年都会发生,冷季常造成冻雨天气,暖季往往会触发雷暴、大...冷空气堆积(cold air damming,CAD)是低层冷空气受地形阻挡产生的一种中尺度天气现象,北半球通常发生在山脉的东侧,造成云量增加、温度降低以及降水类型和降水落区的改变。CAD全年都会发生,冷季常造成冻雨天气,暖季往往会触发雷暴、大风、冰雹等强对流天气。在地形作用下地转适应关系的重新调整是CAD形成的动力基础,但冷平流、绝热冷却和非绝热冷却等热力因子对CAD的形成和发展也至关重要。尽管中尺度数值模式显著提高了CAD事件的预测能力,但这些模式仍有低估CAD影响和持续时间的倾向,即便是快速更新的高分辨率中尺度模式也会低估太阳遮蔽的影响,因此,CAD的预测对研究和预报人员来说一直是个棘手的世界性难题。主要从时空分布、天气影响、形成机理和预报预测等方面对其研究历程进行了回顾。展开更多
A stochastic stage-structure predator-prey system with impulsive effect is investigated.First,we build the corresponding system without impulse in order to demonstrate the existence and uniqueness of the global positi...A stochastic stage-structure predator-prey system with impulsive effect is investigated.First,we build the corresponding system without impulse in order to demonstrate the existence and uniqueness of the global positive solution.Second,by selecting an appropriate Lyapunov function,we provide the sufficient condition for the existence of a positive T-periodic solution.Finally,numerical simulations illustrate our theoretical results,which show that the impulse or the white noises can result in the extinction of the predator in a certain condition.展开更多
基金Supported by the National Natural Science Foundation of China(10671182)。
文摘The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding stochastic and impulse. For the stochastic model without impulses, the existence and uniqueness of solution, and the existence of positive periodic solutions are proved, and a sufficient condition for strategy extinction is given. For the stochastic model with impulses, the existence of positive periodic solutions is proved. Numerical results show that noise and impulses directly affect the model, but the periodicity of the model does not change.
文摘冷空气堆积(cold air damming,CAD)是低层冷空气受地形阻挡产生的一种中尺度天气现象,北半球通常发生在山脉的东侧,造成云量增加、温度降低以及降水类型和降水落区的改变。CAD全年都会发生,冷季常造成冻雨天气,暖季往往会触发雷暴、大风、冰雹等强对流天气。在地形作用下地转适应关系的重新调整是CAD形成的动力基础,但冷平流、绝热冷却和非绝热冷却等热力因子对CAD的形成和发展也至关重要。尽管中尺度数值模式显著提高了CAD事件的预测能力,但这些模式仍有低估CAD影响和持续时间的倾向,即便是快速更新的高分辨率中尺度模式也会低估太阳遮蔽的影响,因此,CAD的预测对研究和预报人员来说一直是个棘手的世界性难题。主要从时空分布、天气影响、形成机理和预报预测等方面对其研究历程进行了回顾。
基金Supported by NSFC(Nos.10671182,12061020)NSF of Guizhou Province(Nos.QKH[2019]1123,QKHKY[2021]088,QKHKY[2022]301,QKH-ZK[2021]331)the Ph.D.Project of Guizhou Education University(No.2021BS005)。
文摘A stochastic stage-structure predator-prey system with impulsive effect is investigated.First,we build the corresponding system without impulse in order to demonstrate the existence and uniqueness of the global positive solution.Second,by selecting an appropriate Lyapunov function,we provide the sufficient condition for the existence of a positive T-periodic solution.Finally,numerical simulations illustrate our theoretical results,which show that the impulse or the white noises can result in the extinction of the predator in a certain condition.
