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具有依密度出生率和非选择性半封闭捕获作用项的偏害系统的动力学行为

Dynamic Behaviors of A Non-selective Harvesting Amensalism Model with Density Dependent Birth Rate and Partial Closure for the Populations
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摘要 研究一类具有依密度出生率和非选择性半封闭捕获作用项的偏害系统的动力学行为.讨论了系统平衡点的局部稳定性和全局稳定性.构造Lyapunov泛函,得到在合适的条件下4个平衡点是全局渐近稳定的,并举例说明可行性. A non-selective harvesting amensalism model with density dependent birth rate and partial closure for the populations is proposed and studied.Local and global stability of the boundary and interior equilibriums are investigated.By constructing some suitable Lyapunov functions,all of the four equilibriums maybe globally asymptotically stable depending on some suitable assumptions.An example together with its numerical simulation is carried out to show the feasibility of the main results.
作者 魏臻 Wei Zhen(School of Electronic and Information Engineering,Fuqing Branch of Fujian Normal University,Fuqing 350300,China)
出处 《宁夏大学学报(自然科学版)》 CAS 2020年第4期327-331,共5页 Journal of Ningxia University(Natural Science Edition)
基金 福建省中青年教师教育科研基金资助项目(JAT170682)。
关键词 依密度出生率 非选择性捕获 LYAPUNOV泛函 偏害系统 稳定性 density dependent birth rate non-selective harvesting Lyapunov function amensalism model stability
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