摘要
考虑一类具有季节性自然演替和周期性脉冲扰动的单种群模型,研究脉冲扰动对种群动力学行为的影响.通过建立频闪映射,得到种群持久和灭绝的阈值条件,并结合有理差分方程理论证明系统有唯一稳定的正周期解,用Matlab软件进行模拟并与连续系统作对比,数值模拟清晰地展示了脉冲扰动对季节性系统的影响.
In this paper,we consider a class of single species with seasonal succession and impulsive perturbations and study the effects of pulse disturbance on population dynamics behaviors. By establishing the stroboscopic map,we get the threshold value for the permanence and extinction of population. Combining the theory of rational difference equation,we obtain that the system has a unique globally stable positive periodic solution. The numerical simulation is taken by using mathematical software-Matlab. It clearly shows the influence of pulse disturbance to the seasonal system. We compare these results with continuous system.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2017年第1期84-89,共6页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(11361059和11271312)
新疆维吾尔自治区自然科学基金(2014721014)
关键词
季节演替
脉冲
持久
灭绝
周期解
seasonal succession
impulsive
permanence
extinction
periodic solution
