Age-structured predator–prey model with habitat complexity: oscillations and control

2012 ◽  
Vol 27 (4) ◽  
pp. 475-499 ◽  
Author(s):  
N. Bairagi ◽  
D. Jana
Keyword(s):  
Habitat Complexity ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Age Structured ◽  
And Control

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.

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

Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity

2021 ◽  
pp. 2150077
Author(s):  
Guangjie Li ◽  
Qigui Yang
Keyword(s):  
Positive Solution ◽  
Habitat Complexity ◽  
Sufficient Conditions ◽  
Ultimate Boundedness ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Global Positive Solution ◽  
Lévy Jumps ◽  
Lyapunov Technique

This paper investigates a stochastic Holling II predator-prey model with Lévy jumps and habit complexity. It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique, and the stochastic ultimate boundedness of this positive solution is also obtained. Sufficient conditions are established for the extinction and persistence of this solution. Moreover, some numerical simulations are carried out to support the obtained results.

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