scholarly journals Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers

2020 ◽  
Author(s):  
Dongyuan Xiao ◽  
Ryunosuke Mori
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Hunter Gatherers ◽  
Reaction Diffusion Model ◽  
Three Component Reaction

scholarly journals Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model

2020 ◽  
pp. 1-21
Author(s):  
R. M. CHERNIHA ◽  
V. V. DAVYDOVYCH
Keyword(s):  
Asymptotic Behaviour ◽  
Exact Solutions ◽  
Reaction Diffusion ◽  
Hunter Gatherers ◽  
Classical Symmetry ◽  
Classical Symmetries ◽  
Reaction Diffusion Model ◽  
Three Component Reaction ◽  
Biological Interpretation ◽  
First Time

Abstract Q-conditional (non-classical) symmetries of the known three-component reaction-diffusion (RD) system [K. Aoki et al. Theor. Popul. Biol. 50, 1–17 (1996)] modelling interaction between farmers and hunter-gatherers are constructed for the first time. A wide variety of Q-conditional symmetries are found, and it is shown that these symmetries are not equivalent to the Lie symmetries. Some operators of Q-conditional (non-classical) symmetry are applied for finding exact solutions of the RD system in question. Properties of the exact solutions (in particular, their asymptotic behaviour) are identified and possible biological interpretation is discussed.

scholarly journals A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations

2020 ◽  
Vol 19 ◽  
pp. 103462 ◽  
Author(s):  
Hijaz Ahmad ◽  
Tufail A. Khan ◽  
Imtiaz Ahmad ◽  
Predrag S. Stanimirović ◽  
Yu-Ming Chu
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Model Equations
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