scholarly journals Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays

2001 ◽  
Vol 59 (1) ◽  
pp. 159-173 ◽  
Author(s):  
Shigui Ruan
Keyword(s):  
Absolute Stability ◽  
Conditional Stability ◽  
Kolmogorov Type ◽  
Predator Prey ◽  
Stability And Bifurcation ◽  
Discrete Delays

scholarly journals Absolute stability and dynamical stabilisation in predator-prey systems

2013 ◽  
Vol 68 (6) ◽  
pp. 1403-1421 ◽  
Author(s):  
Ayawoa S. Dagbovie ◽  
Jonathan A. Sherratt
Keyword(s):  
Absolute Stability ◽  
Predator Prey

scholarly journals Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Jinlei Liu ◽  
Wencai Zhao
Keyword(s):  
Feedback Control ◽  
Deterministic Model ◽  
Sufficient Conditions ◽  
Positive Equilibrium ◽  
Theoretical Derivation ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Discrete Delays ◽  
Positive Equilibrium Point

In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations.

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