predator-prey;
fear effect;
stability;
Hopf bifurcation;
D O I:
暂无
中图分类号:
O175 [微分方程、积分方程];
Q141 [数学生态学与生物模型];
学科分类号:
070104 ;
0701 ;
摘要:
In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium and the positive equilibrium. We show that the fear effect has no effect on prey density, but will lead to the decrease of predator populations.
机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Minist Educ, Key Lab Arid & Grassland Agroecol, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Ma, Zhihui
Wang, Shufan
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机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
机构:
Chandrahati Dilip Kumar High School (H.S.), Chandrahati, 712504, West BengalChandrahati Dilip Kumar High School (H.S.), Chandrahati, 712504, West Bengal
Pal D.
Santra P.
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机构:
Abada New Set Up Upper Primary School, Howrah, West BengalChandrahati Dilip Kumar High School (H.S.), Chandrahati, 712504, West Bengal
Santra P.
Mahapatra G.S.
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机构:
Department of Mathematics, National Institute of Technology, Karaikal, 609605, PuducherryChandrahati Dilip Kumar High School (H.S.), Chandrahati, 712504, West Bengal