Intra-Specific Competition in Prey Can Control Chaos in a Prey-Predator Model

2020 ◽  
pp. 97-106
Author(s):  
Md Saifuddin ◽  
Santanu Biswas
Keyword(s):  
Predator Model

Mathematical Modelling for Circular Prey-Predator Model

2020 ◽  
Author(s):  
Apurv Agarwal ◽  
Bianchi S. Sangma ◽  
Devasri Lal ◽  
Surbhi Singh
Keyword(s):  
Mathematical Modelling ◽  
Predator Model

Sensitivity analysis and stationary probability distributions of a stochastic two-prey one-predator model

2021 ◽  
Vol 116 ◽  
pp. 106996
Author(s):  
Shenlong Wang ◽  
Zhicheng Wang ◽  
Chenyun Xu ◽  
Guyue Jiao
Keyword(s):  
Sensitivity Analysis ◽  
Probability Distributions ◽  
Stationary Probability ◽  
Predator Model

scholarly journals The Bifurcation Analysis of Food Web Prey- Predator Model with Toxin

2021 ◽  
Vol 1897 (1) ◽  
pp. 012080
Author(s):  
Azhar Abbas Majeed ◽  
Mohamed Akram Lafta
Keyword(s):  
Food Web ◽  
Bifurcation Analysis ◽  
Predator Model

scholarly journals Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting

2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Dahlia Khaled Bahlool ◽  
Huda Abdul Satar ◽  
Hiba Abdullah Ibrahim
Keyword(s):  
Equilibrium Points ◽  
Global Dynamics ◽  
Persistence Conditions ◽  
Local Bifurcation Analysis ◽  
Uniqueness Of The Solution ◽  
Harvesting Process ◽  
Predator Model ◽  
The Stability ◽  
Predator System ◽  
Type Ii Functional Response

In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response. There is a harvesting process from the predator. The existence and uniqueness of the solution in addition to their bounded are discussed. The stability analysis of the model around all possible equilibrium points is investigated. The persistence conditions of the system are established. Local bifurcation analysis in view of the Sotomayor theorem is carried out. Numerical simulation has been applied to investigate the global dynamics and specify the effect of varying the parameters. It is observed that the system has a chaotic dynamics.

Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

2021 ◽  
Vol 152 ◽  
pp. 111345
Author(s):  
S. Akhtar ◽  
R. Ahmed ◽  
M. Batool ◽  
Nehad Ali Shah ◽  
Jae Dong Chung
Keyword(s):  
Chaos Control ◽  
Bifurcation And Chaos ◽  
Predator Model

scholarly journals Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

2009 ◽  
Vol 2009 ◽  
pp. 1-16 ◽  
Author(s):  
Zhixiang Yu ◽  
Zhong Li
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Functional ◽  
Global Attractivity ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Predator Model

A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.

Sign in / Sign up

Export Citation Format

Share Document