scholarly journals Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Jianmei Wang ◽  
Huidong Cheng ◽  
Xinzhu Meng ◽  
BG Sampath Aruna Pradeep
Keyword(s):  
Geometrical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Control Optimization ◽  
Prey Model ◽  
State Dependent ◽  
And Control

scholarly journals THE GEOMETRICAL ANALYSIS OF A PREDATOR-PREY MODEL WITH MULTI-STATE DEPENDENT IMPULSES

2018 ◽  
Vol 8 (2) ◽  
pp. 427-442
Author(s):  
Jianmei Wang ◽  
◽  
Huidong Cheng ◽  
Yan Li ◽  
Xiaoning Zhang ◽  
...  
Keyword(s):  
Geometrical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
State Dependent

The geometrical analysis of a predator–prey model with two state impulses

2012 ◽  
Vol 238 (2) ◽  
pp. 55-64 ◽  
Author(s):  
Lichun Zhao ◽  
Lansun Chen ◽  
Qingling Zhang
Keyword(s):  
Geometrical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Xiaomei Feng ◽  
Zhidong Teng ◽  
Fengqin Zhang
Keyword(s):  
Prevention And Control ◽  
Global Attractivity ◽  
Integral Form ◽  
Threshold Values ◽  
Pest Population ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Threshold Conditions ◽  
And Control

A nonautonomous predator-prey model with infertility control in the prey is formulated and investigated. Threshold conditions for the permanence and extinction of fertility prey and infertility prey are established. Some new threshold values of integral form are obtained. For the periodic cases, these threshold conditions act as sharp threshold values for the permanence and extinction of fertility prey and infertility prey. There are also mounting concerns that the quantity of biological sterile drug is obtained in the process of the prevention and control of pest in the grasslands and farmland. Finally, two examples are given to illustrate the main results of this paper. The numerical simulations shown that, when the pest population is permanet, different dynamic behaviors may be found in this model, such as the global attractivity and the chaotic attractor.

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.

Fractal analysis and control in the predator–prey model

2016 ◽  
Vol 94 (4) ◽  
pp. 737-746 ◽  
Author(s):  
Weihua Sun ◽  
Yongping Zhang ◽  
Xin Zhang
Keyword(s):  
Fractal Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
And Control
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