期刊文献+

Bifurcation behaviors analysis of a plankton model with multiple delays 被引量:2

Bifurcation behaviors analysis of a plankton model with multiple delays
原文传递
导出
摘要 A mathematical model describing the dynamics of toxin producing phytoplankton- zooplankton interaction with instantaneous nutrient recycling is proposed. We have explored the dynamics of plankton ecosystem with multiple delays; one due to gestation period in the growth of phytoplankton population and second due to the delay in toxin liberated by TPP. It is established that a sequence of Hopf bifurcations occurs at the interior equilibrium as the delay increases through its critical value. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined using the theory of normal form and center manifold. Meanwhile, effect of toxin on the stability of delayed plankton system is also established numerically. Finally, numerical simulations are carried out to support and supplement the analytical findings.
出处 《International Journal of Biomathematics》 2016年第6期113-137,共25页 生物数学学报(英文版)
关键词 PLANKTON multiple delays TOXIN Hopf bifurcation normal form theory centermanifold theorem. Hopf分岔 多时滞 行为分析 生物模型 生态系统动力学 Hopf分支 中心流形理论 数学模型
  • 引文网络
  • 相关文献

参考文献2

二级参考文献14

共引文献32

同被引文献3

引证文献2

二级引证文献1

;
使用帮助 返回顶部