Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays

Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays
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DOI:
10.1142/s0218127415501072
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发表时间:
2015-08
期刊:
Int. J. Bifurc. Chaos
影响因子:
--
通讯作者:
Shanshan Chen;Junjie Wei
Shanshan Chen;Junjie Wei
中科院分区:
其他
文献类型:
--
作者:
Shanshan Chen;Junjie Wei

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研究了一类具有Dirichlet边界条件的多时滞Logistic种群扩散模型.研究了正平衡点的稳定性和不稳定性以及时滞诱导的Hopf分支。此外,我们展示了哪种延迟实际上会影响动态。
A diffusive logistic population model with multiple delays and Dirichlet boundary condition is considered in this paper. The stability/instability of the positive equilibrium and delay induced Hopf bifurcation are investigated. Moreover, we show which kind of delay could actually affect the dynamics.