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

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.

Sign in / Sign up

Export Citation Format

Share Document