scholarly journals Predator–Prey model with Holling response function of type II and SIS infectious disease

2013 ◽  
Vol 37 (7) ◽  
pp. 4825-4841 ◽  
Author(s):  
Jean Jules Tewa ◽  
Valaire Yatat Djeumen ◽  
Samuel Bowong
Keyword(s):  
Infectious Disease ◽  
Response Function ◽  
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

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

scholarly journals Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Feng Rao
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Functions ◽  
Allee Effect ◽  
Dynamical Analysis ◽  
Type Ii ◽  
Qualitative Properties ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Stochastic Boundedness ◽  
Prey Model

We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. A series of numerical simulations to illustrate these mathematical findings are presented.

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