scholarly journals Positive solutions of a diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes

2012 ◽  
Vol 389 (2) ◽  
pp. 1380-1393 ◽  
Author(s):  
Jun Zhou
Keyword(s):  
Positive Solutions ◽  
Type Ii ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Global analysis of a Holling type II predator–prey model with a constant prey refuge

2013 ◽  
Vol 76 (1) ◽  
pp. 635-647 ◽  
Author(s):  
Guangyao Tang ◽  
Sanyi Tang ◽  
Robert A. Cheke
Keyword(s):  
Global Analysis ◽  
Type Ii ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR–PREY MODEL WITH MODIFIED LESLIE–GOWER AND HOLLING-TYPE II SCHEMES

2012 ◽  
Vol 05 (06) ◽  
pp. 1250057 ◽  
Author(s):  
ZHONG LI ◽  
MAOAN HAN ◽  
FENGDE CHEN
Keyword(s):  
Global Stability ◽  
Positive Equilibrium ◽  
Type Ii ◽  
Iterative Technique ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

In this paper, we consider a stage-structured predator–prey model with modified Leslie–Gower and Holling-type II schemes. Using an iterative technique, we investigate the global stability of the positive equilibrium of the system. Finally, some examples are presented to verify our main result.

Analysis of a Stochastic Holling Type II Predator–Prey Model Under Regime Switching

2019 ◽  
Vol 43 (3) ◽  
pp. 2171-2197
Author(s):  
Xiaobo Jiang ◽  
Li Zu ◽  
Daqing Jiang ◽  
Donal O’Regan
Keyword(s):  
Regime Switching ◽  
Type Ii ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model

2005 ◽  
Vol 2005 (2) ◽  
pp. 135-144 ◽  
Author(s):  
Hai-Feng Huo ◽  
Wan-Tong Li
Keyword(s):  
Lyapunov Function ◽  
Global Stability ◽  
Positive Solution ◽  
Positive Solutions ◽  
Sufficient Conditions ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent predator-prey model. By linearization of the model at positive solutions and construction of Lyapunov function, we also obtain some conditions which ensure that a positive solution of the model is stable and attracts all positive solutions.

Dynamics of a stochastic Holling type II predator–prey model with hyperbolic mortality

2016 ◽  
Vol 87 (3) ◽  
pp. 2011-2020 ◽  
Author(s):  
Xinhong Zhang ◽  
Yan Li ◽  
Daqing Jiang
Keyword(s):  
Type Ii ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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