Asymptotic behavior of a food chain model with stochastic perturbation

2019 ◽  
Vol 531 ◽  
pp. 121749
Author(s):  
Haihong Li ◽  
Haixia Li ◽  
Fuzhong Cong
Keyword(s):  
Asymptotic Behavior ◽  
Food Chain ◽  
Stochastic Perturbation ◽  
Chain Model ◽  
Food Chain Model

scholarly journals Asymptotic behavior of a three-species food chain model with time-varying delays

2021 ◽  
Author(s):  
Yuxiao Zhao ◽  
Linshan Wang ◽  
Yangfan Wang
Keyword(s):  
Asymptotic Behavior ◽  
Exponential Stability ◽  
Positive Solutions ◽  
Food Chain ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Chain Model ◽  
Time Varying ◽  
Razumikhin Technique ◽  
Food Chain Model

In this paper, a stochastic three-species food chain model with time-varying delays is focussed. The existence and the asymptotic behavior of global positive solutions to the model are discussed, and the sufficient conditions for the 1th moment practical exponential stability and the extinction of the model are given by using the Razumikhin technique and Lyapunov method.

scholarly journals Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Haihong Li ◽  
Fuzhong Cong ◽  
Daqing Jiang ◽  
Hongtu Hua
Keyword(s):  
Numerical Simulations ◽  
Positive Solution ◽  
Food Chain ◽  
Stochastic Perturbation ◽  
Chain Model ◽  
Unique Positive Solution ◽  
Predator Prey ◽  
Time Average ◽  
Food Chain Model

We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and itspth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.

scholarly journals Chaos in Beddington–DeAngelis food chain model with fear

2020 ◽  
Vol 1591 ◽  
pp. 012082
Author(s):  
Hiba Abdullah Ibrahim ◽  
Raid Kamel Naji
Keyword(s):  
Food Chain ◽  
Chain Model ◽  
Food Chain Model

Bifurcations and multistability in a food chain model with nanoparticles

2021 ◽  
Author(s):  
Mainul Hossain ◽  
N.C. Pati ◽  
Saheb Pal ◽  
Sourav Rana ◽  
Nikhil Pal ◽  
...  
Keyword(s):  
Food Chain ◽  
Chain Model ◽  
Food Chain Model
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