Hopf bifurcation analysis for a diabetic population model with two delays and saturated treatment

2021 ◽  
Vol 96 (12) ◽  
pp. 125013
Author(s):  
Hanis Nasir
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Population Model ◽  
Two Delays ◽  
Diabetic Population ◽  
Saturated Treatment

scholarly journals Hopf Bifurcation Analysis in a Tabu Learning Neuron Model with Two Delays

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Yingguo Li
Keyword(s):  
Hopf Bifurcation ◽  
Theoretical Analysis ◽  
Bifurcation Analysis ◽  
Neuron Model ◽  
Dynamical Behavior ◽  
Bifurcation Parameter ◽  
Nonlinear Dynamical ◽  
Numerical Examples ◽  
Two Delays

We consider the nonlinear dynamical behavior of a tabu leaning neuron model with two delays. By choosing the sum of the two delays as a bifurcation parameter, we prove that Hopf bifurcation occurs in the neuron. Some numerical examples are also presented to verify the theoretical analysis.

scholarly journals Hopf bifurcation analysis for a model of plant virus propagation with two delays

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Qinglian Li ◽  
Yunxian Dai ◽  
Xingwei Guo ◽  
Xingyong Zhang
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Plant Virus ◽  
Virus Propagation ◽  
Two Delays

scholarly journals Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays

2011 ◽  
Vol 21 (1) ◽  
pp. 97-107 ◽  
Author(s):  
Changjin Xu ◽  
Maoxin Liao ◽  
Xiaofei He
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Transcendental Equation ◽  
Positive Equilibrium ◽  
Normal Form Theory ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Two Delays ◽  
Manifold Theory

Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included.

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