行会内捕食
消光(光学矿物学)
功能性反应
独特性
理论(学习稳定性)
统计物理学
捕食
数学
应用数学
生物系统
生态学
物理
数学分析
捕食者
生物
计算机科学
机器学习
光学
作者
Guohong Zhang,Xiaoli Wang
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2018-01-01
卷期号:23 (9): 3755-3786
被引量:3
标识
DOI:10.3934/dcdsb.2018076
摘要
Extinction and coexistence of species are two fundamental issues in systems with IGP. In this paper, we constructed a mathematical model with IGP by introducing heterogeneous environment and B-D functional response between the predator and prey. First, some sufficient conditions for the extinction and permanence of the time-dependent system were obtained by using comparison principle and upper and lower solution method. Second, we got some necessary and sufficient conditions for the existence of coexistence states by means of the fixed point index theory. In addition, we discussed the uniqueness and stability of coexistence state under some conditions. Finally, we studied the effects of the parameters in system on the spatial distribution of species and obtained some interesting results about the extinction and coexistence of species by using numerical simulations.
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