Stability and bifurcation analysis of two species amensalism model with Michaelis–Menten type harvesting and a cover for the first species
作者: Yu LiuLiang ZhaoXiaoyan HuangHang Deng
作者单位: 1College of Mathematics and Computer Science, Fuzhou University
2College of Information and Statistics, Guangxi University of Finance and Economics
刊名: Advances in Difference Equations, 2018, Vol.2018 (1), pp.1-19
来源数据库: Springer Journal
DOI: 10.1186/s13662-018-1752-2
关键词: Amensalism modelNonlinear harvestingCoverBifurcation analysis
英文摘要: Abstract(#br)In this paper, a two species amensalism model with Michaelis–Menten type harvesting and a cover for the first species that takes the form d x ( t ) d t = a 1 x ( t ) − b 1 x 2 ( t ) − c 1 ( 1 − k ) x ( t ) y ( t ) − q E ( 1 − k ) x ( t ) m 1 E + m 2 ( 1 − k ) x ( t ) , d y ( t ) d t = a 2 y ( t ) − b 2 y 2 ( t ) $$\begin{aligned} &\frac{dx(t)}{dt}=a_{1}x(t)-b_{1}x^{2}(t)-c_{1}(1-k)x(t)y(t)- \frac{qE(1-k)x(t)}{m_{1}E+m_{2}(1-k)x(t)}, \\ &\frac{dy(t)}{dt}=a_{2}y(t)-b_{2}y^{2}(t) \end{aligned}$$ is investigated, where a i $a_{i}$ ,...
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影响因子:0.76 (2012)

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