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| 1 | Hopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delays显示文摘In this work,a Leslie–Gower prey-predator model with two discrete delays has been investigated.The positivity,boundedness and persistence of the delayed system have been discussed.The system exhibits the phenomenon of Hopf bifurcation with respect to both delays.The conditions for occurrence of Hopf bifurcation are obtained for different combinations of delays.It is shown that delay induces the complexity in the system and brings the periodic oscillations,quasi-periodic oscillations and chaos.The properties of periodic solution have been determined using central manifold and normal form theory.Further,the global stability of the system has been established for different cases of discrete delays.The numerical computation has also been performed to verify analytical results. | Anuraj Singh Preeti Pradeep Malik | 2020 | International Journal of Biomathematics2020，13，6： | 2 |
| 2 | Dynamical Analysis of Toxin Producing Model with Delay显示文摘In this paper, a toxin producing phytoplankton-zooplankton model with inhibitory substrate and time delay is investigated. A discrete time delay is induced to both of the consume response function and distribution of toxic substance term. Moreover, Tissiet type function is used for zooplankton grazing to account for the effect of toxication by the TPP population. The conditions to guarantee the coexistence of two species and stability of coexistence equilibrium are given. In particular, we show that there exist critical values of the delay parameters below which the coexistence equilibrium is stable and above which it is unstable. Hopf bifurcation occurs when the delay parameters cross their critical values. Some numerical simulations are executed to validate the analytical findings. | Xiaona LI | 2021 | Journal of Mathematical Research with Applications2021，41，1： | 1 |
| 3 | A fractional-order toxin producing phytoplankton and zooplankton system显示文摘 | M. Javidi N. Nyamoradi | 2014 | International Journal of Biomathematics2014，7，4： | 1 |
| 4 | 周期演化区域上具病毒感染的浮游植物扩散模型显示文摘文中研究了一类反应扩散问题,该问题描述了周期演化区域上的具有病毒感染的浮游植物模型.首先建立周期演化区域上的浮游植物SI染病模型,再将模型转化为固定区域上的反应扩散问题;利用下一代感染算子给出基本再生数,最后研究了无病平衡点的渐近行为,得到了病毒灭绝并且浮游植物持续生存的条件. | 臧宇 林支桂 | 2023 | 高校应用数学学报(A辑)2023，38，2： | 0 |
| 5 | Dynamic analysis of a fractional order system显示文摘 | M. Javidi N. Nyamoradi | 2015 | International Journal of Biomathematics2015，8，6： | 0 |
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