scholarly journals Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator

2021 ◽  
Vol 99 ◽  
pp. 105802
Author(s):  
Claudio Arancibia-Ibarra ◽  
Michael Bode ◽  
José Flores ◽  
Graeme Pettet ◽  
Peter van Heijster
Keyword(s):  
Food Source ◽  
Alternative Food ◽  
Turing Patterns ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Alternative Food Source

Turing patterns in a predator–prey model on complex networks

2020 ◽  
Vol 99 (4) ◽  
pp. 3313-3322 ◽  
Author(s):  
Chen Liu ◽  
Lili Chang ◽  
Yue Huang ◽  
Zhen Wang
Keyword(s):  
Complex Networks ◽  
Turing Patterns ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Bo Yang
Keyword(s):  
Boundary Condition ◽  
Hopf Bifurcation ◽  
Turing Instability ◽  
Turing Patterns ◽  
Positive Equilibrium ◽  
Flux Boundary Condition ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically. The asymptotic stability of the positive equilibrium and the existence of Hopf bifurcation around the positive equilibrium are shown; the conditions of Turing instability are obtained. And with the help of numerical simulations, it is found that the model exhibits complex pattern replication: stripes, spots-stripes mixtures, and spots Turing patterns.

scholarly journals Turing patterns in a predator–prey model with seasonality

2018 ◽  
Vol 78 (3) ◽  
pp. 711-737 ◽  
Author(s):  
Xiaoying Wang ◽  
Frithjof Lutscher
Keyword(s):  
Turing Patterns ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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