新疆大学数学与系统科学学院
纸质出版:2015
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[1]何志龙,聂麟飞.一类具有状态依赖脉冲投放濒危物种的两种群竞争模型的周期解(英文)[J].新疆大学学报(自然科学版),2015,32(01):26-32.
[1]何志龙,聂麟飞.一类具有状态依赖脉冲投放濒危物种的两种群竞争模型的周期解(英文)[J].新疆大学学报(自然科学版),2015,32(01):26-32. DOI: 10.13568/j.cnki.651094.2015.01.006.
DOI:10.13568/j.cnki.651094.2015.01.006.
提出了一类具有状态依赖脉冲投放濒危物种的两种群竞争模型.通过利用半连续动力系统的几何理论和类Poincare准则
得到了该模型的正阶-1周期解、半平凡周期解的存在性和稳定性的充分条件.
In this paper
a mathematical model of two-species competitive model with state-dependent impulsive replenish the endangered species is proposed
using the geometric theory of semi-continuous dynamic system and analogue of Poincare′ criterion
the sufficient conditions on the existence and orbital stability of positive order-1 periodic solution and semi-trivial periodic solution are obtained.
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Nie L,Teng Z,Hu L,Peng J.Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects[J].Nonlinear Anal.-Real,2010,11:1364-1373.
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