BIFURCATION ANALYSIS IN A DELAY DIFFERENTIAL EQUATIONS, WHICH CONFERS A STRONG ALLEE EFFECT IN ESCHERICHIA COLI

DOI10.3846/13926292.2015.1113206zbMath1488.34458OpenAlexW2192085900WikidataQ115650702 ScholiaQ115650702MaRDI QIDQ5011270

Ruilan Tian, Qiubao Wang

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2015.1113206

zbMATH Keywords

delaybifurcationcenter manifolddouble Hopf

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19) Stationary solutions of functional-differential equations (34K21)

Cites Work

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• Numerical Hopf bifurcation of Runge-Kutta methods for a class of delay differential equations
• Spatio-temporal chaos in a chemotaxis model
• Delay differential equations: with applications in population dynamics
• Harmless delays for uniform persistence
• Global attractivity and oscillations in a periodic delay-logistic equation
• Numerical Hopf bifurcation of linear multistep methods for a class of delay differential equations
• Hopf bifurcations in a reaction-diffusion population model with delay effect
• Introduction to functional differential equations
• 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
• Existence and global attractivity of a periodic solution for an impulsive delay differential equation with Allee effect
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Stability analysis in a second-order differential equation with delays
• Stability and Neimark–Sacker bifurcation in Runge–Kutta methods for a predator–prey system
• Mathematical modeling in economics, ecology and the environment

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