scholarly journals Dynamical analysis on prey refuge in a predator-prey model with square root functional response

2018 ◽  
Vol 18 (02) ◽  
pp. 154-162 ◽  
Author(s):  
Liujuan Chen ◽  
Yiqin Wang
Keyword(s):  
Functional Response ◽  
Dynamical Analysis ◽  
Square Root ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Dynamical Analysis Predator-Prey Population with Holling Type II Functional Response

2021 ◽  
Author(s):  
FE. Universitas Andi Djemma
Keyword(s):  
Functional Response ◽  
Equilibrium Points ◽  
Dynamical Analysis ◽  
Type Ii ◽  
Asymptotically Stable ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Type Ii Functional Response

In this article, we investigate the dynamical analysis of predator prey model. Interactionamong preys and predators use Holling type II functional response, and assuming prey refuge aswell as harvesting in both populations. This study aims to study the predator prey model and todetermine the effect of overharvesting which consequently will affect the ecosystem. In the modelfound three equilibrium points, i.e., (0,0) is the extinction of predator and prey equilibrium,?(??, 0) is the equilibrium with predatory populations extinct and the last equilibrium points?(??, ??) is the coexist equilibrium. All equilibrium points are asymptotically stable (locally) undercertain conditions. These analytical findings were confirmed by several numerical simulations.

Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge

2016 ◽  
Vol 54 (1-2) ◽  
pp. 435-449 ◽  
Author(s):  
Hong-Li Li ◽  
Long Zhang ◽  
Cheng Hu ◽  
Yao-Lin Jiang ◽  
Zhidong Teng
Keyword(s):  
Fractional Order ◽  
Dynamical Analysis ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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