【摘要】 基于污染环境中两种释放毒素的赤潮藻类和一种浮游动物的相互作用,考虑外界污染源排放毒素和浮游植物排放毒素,建立赤潮藻类离散时滞非线性动力学模型。运用非线性动力学理论分析了模型的稳定性及分岔行为,得到每个种群生存和绝灭的阈值,以及时滞和内禀增长率增加时,会发生一系列Hopf分岔。最后通过计算机模拟验证理论的正确性。更多还原

【Abstract】 We develop a nonlinear red tide dynamic model to study the effect on a system of two harmful phytoplankton and zooplankton and of a toxicant emitted into the environment from external sources and a toxin excreted by phytoplankton.We use modern nonlinear dynamics to discuss stability and bifurcation,and obtain the thresholds of persistence and extinction for each species.Numerical simulations are used to validate the theoretical results.The results show that a sequence of Hopf bifurcations occur at the interior equilibrium as the delay increases or the growth rates increase.更多还原