A Predator-Prey Model with State-Dependent Feedback Control

2018 ◽  
Vol 07 (10) ◽  
pp. 1340-1348
Author(s):  
露 白
Keyword(s):  
Feedback Control ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
State Dependent

The dynamics of a delayed predator-prey model with state dependent feedback control

2011 ◽  
Author(s):  
Anuraj Singh ◽  
Sunita Gakkhar ◽  
Ilias Kotsireas ◽  
Roderick Melnik ◽  
Brian West
Keyword(s):  
Feedback Control ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
State Dependent

Modeling and analysis of a predator–prey model with state-dependent delay

2018 ◽  
Vol 11 (02) ◽  
pp. 1850026 ◽  
Author(s):  
Yunfei Lv ◽  
Yongzhen Pei ◽  
Rong Yuan
Keyword(s):  
Immature Stage ◽  
Global Dynamics ◽  
Modeling And Analysis ◽  
Predator Prey ◽  
Interior Equilibrium ◽  
Predator Prey Model ◽  
Prey Model ◽  
State Dependent ◽  
State Dependent Delay ◽  
Threshold Amount

We propose and study a predator–prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spend an amount of time in the immature stage sufficient to accumulate a threshold amount of food. We perform a qualitative analysis of the solutions, which includes studying positivity and boundedness, existence and local stability of equilibria. For the global dynamics of the system, we discuss an attracting region which is determined by solutions, and the region collapses to the interior equilibrium in the constant delay case.

scholarly journals Dynamics of a predator-prey model with state-dependent carrying capacity

2017 ◽  
Vol 22 (11) ◽  
pp. 1-15
Author(s):  
Hanwu Liu ◽  
◽  
Lin Wang ◽  
Fengqin Zhang ◽  
Qiuying Li ◽  
...  
Keyword(s):  
Carrying Capacity ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
State Dependent

scholarly journals Optimization of an integrated feedback control for a pest management predator-prey model

2019 ◽  
Vol 16 (6) ◽  
pp. 7963-7981 ◽  
Author(s):  
Zhenzhen Shi ◽  
◽  
Huidong Cheng ◽  
Yu Liu ◽  
Yanhui Wang ◽  
...  
Keyword(s):  
Feedback Control ◽  
Pest Management ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

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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