scholarly journals Persistence and global stability of a stage-structured food chain model with distributed maturation delay and harvesting

2019 ◽  
Keyword(s):  
Global Stability ◽  
Food Chain ◽  
Chain Model ◽  
Maturation Delay ◽  
Food Chain Model

scholarly journals GLOBAL STABILITY OF A THREE-SPECIES FOOD-CHAIN MODEL WITH DIFFUSION AND NONLOCAL DELAYS

2011 ◽  
Vol 16 (3) ◽  
pp. 376-389 ◽  
Author(s):  
Xiao Zhang ◽  
Rui Xu ◽  
Zhe Li
Keyword(s):  
Steady State ◽  
Global Stability ◽  
Food Chain ◽  
Energy Function ◽  
Function Method ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Chain Model ◽  
Food Chain Model ◽  
Theoretical Results

In this paper, a three species reaction-diffusion food-chain system with nonlocal delays is investigated. Sufficient conditions are derived for the global stability of a positive steady state and boundary steady states of the system by using the energy function method. Numerical simulations are carried out to illustrate the theoretical results.

scholarly journals Chaos in a Hybrid Food Chain Model

2021 ◽  
pp. 2362-2368
Author(s):  
Safaa Jawad Ali ◽  
Abed Almohsen Naji Almohasin ◽  
Adwea Naji Atewi ◽  
Raid Kamel Naji ◽  
Norihan Md Arifin
Keyword(s):  
Global Stability ◽  
Food Chain ◽  
Direct Method ◽  
Equilibrium Points ◽  
Chain Model ◽  
Lyapunov Direct Method ◽  
Type Iv ◽  
Controlling Parameter ◽  
Periodic Dynamics ◽  
Food Chain Model

In this paper, chaotic and periodic dynamics in a hybrid food chain system with Holling type IV and Lotka-Volterra responses are discussed. The system is observed to be dissipative. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov direct method. Chaos phenomena is characterized by attractors and bifurcation diagram. The effect of the controlling parameter of the model is investigated theoretically and numerically.

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
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