Spatio-temporal dynamics near the steady state of a planktonic system
Spatio-temporal dynamics near the steady state of a planktonic system
复制标题
浮游系统稳态附近的时空动力学
DOI：
10.1016/j.camwa.2018.03.044
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发表时间：
2018-06
影响因子：
2.9
通讯作者：
Zhang Tongqian
中科院分区：
文献类型：
--
作者：
Zhang Tonghua;Liu Xia;Meng Xinzhu;Zhang Tongqian
The study of spatio-temporal behaviour of ecological systems is fundamentally important as it can provide deep understanding of species interaction and predict the effects of environmental changes. In this paper, we first propose a spatial model with prey taxis for planktonic systems, in which we also consider the herb behaviour in prey and effect of the hyperbolic mortality rate. Applying the homogeneous Neumann boundary condition to the model and using prey-tactic sensitivity coefficient as bifurcation parameter, we then detailedly analyse the stability and bifurcation of the steady state of the system: firstly, we carry out a study of the equilibrium bifurcation, showing the occurrence of fold bifurcation, Hopf bifurcation and the BT bifurcation; then by using an abstract bifurcation theory and taking prey-tactic sensitivity coefficient as the bifurcation parameter, we investigate the Turing–Hopf bifurcation, obtaining a branch of stable non-constant solutions bifurcating from the positive equilibrium, and our results show that prey-taxis can yield the occurrence of spatio-temporal patterns; finally, numerical simulations are carried out to illustrate our theoretical results, showing the existence of a periodic solution when the prey-tactic sensitivity coefficient is away from the critical value.
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影响因子：
2.1
作者：
J. Steele;E. Henderson
通讯作者：
J. Steele;E. Henderson
具有脉冲效应的随机非自主捕食者-被捕食系统的动力学分析和数值模拟
影响因子：
4.2
作者：
张升强;孟新柱;冯涛;张同华
通讯作者：
张同华
影响因子：
2
作者：
C. Duque;M. Lizana
通讯作者：
C. Duque;M. Lizana
DOI：
10.1002/cplx.21759
发表时间：
2016-09
期刊：
Complex.
影响因子：
--
作者：
Ruizhi Yang;Chunrui Zhang
通讯作者：
Ruizhi Yang;Chunrui Zhang
影响因子：
2
作者：
P. A. Braza
通讯作者：
P. A. Braza