Hopf-transcritical bifurcation in toxic phytoplankton-zooplankton model with delay
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Publication:2338881
DOI10.1016/j.jmaa.2014.01.081zbMath1308.92091OpenAlexW2055558450MaRDI QIDQ2338881
Weihua Jiang, Hongbin Wang, Yong Wang
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.01.081
quasi-periodic solutionstability switchesHopf-transcritical bifurcationphytoplankton-zooplankton model
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Cites Work
- Unnamed Item
- Unnamed Item
- Hopf bifurcation and bistability of a nutrient-phytoplankton-zooplankton model
- Dynamics of a limit cycle oscillator with extended delay feedback
- Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
- Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays
- Double Hopf bifurcation and quasi-periodic attractors in delay-coupled limit cycle oscillators
- A delay equation model for oviposition habitat selection by mosquitoes
- Hopf-transcritical bifurcation in retarded functional differential equations
- A delay model for viral infection in toxin producing phytoplankton and zooplankton system
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
- Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions
- Chaos in a seasonally and periodically forced phytoplankton-zooplankton system
- Hopf bifurcations in a reaction-diffusion population model with delay effect
- Applications of centre manifold theory
- Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Stability and global Hopf bifurcation in toxic phytoplankton-zooplankton model with delay and selective harvesting
- Persistence and global stability in a delayed Leslie-Gower type three species food chain
- The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
- An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
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