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Do the stability analysis of the following competing species system of equations with diffusion and advection = a,N - b,N;N, +D¡ %3D ON2 ô²N2 -d, N, +C,N,N, +D, 0 0, 0

Do the stability analysis of the following competing species system of equations with diffusion and advection = a,N - b,N;N, +D¡ %3D ON2 ô²N2 -d, N, +C,N,N, +D, 0 0, 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Do the stability analysis of the following competing species system of equations with diffusion and advection 1. ON = a,N1 – b¡N¡N, +D¡ %3D Ôx ÔN2 = -d,N, +C,N¡N, + ốt +D2 V2 0<x<L ôx? Ôx where Vi and V2 are advection velocities in x direction of the two populations with densities N1 and N2 respectively. aj is the growth rate, bị is the predation rate, d, is the death rate, C, is the conversion rate. D1 and D2 are diffusion coefficients. The Initial and boundary conditions are: N; (x,0) = f; (x)> 0, 0 < x < L, i= 1,2A N; = Ni at x =0 and x = LV t, i =1, 2A where Ni are the equilibrium solutions of the given system of equations. Interpret the solution obtained and also write the limitations of the model.
Transcribed Image Text:Do the stability analysis of the following competing species system of equations with diffusion and advection 1. ON = a,N1 – b¡N¡N, +D¡ %3D Ôx ÔN2 = -d,N, +C,N¡N, + ốt +D2 V2 0<x<L ôx? Ôx where Vi and V2 are advection velocities in x direction of the two populations with densities N1 and N2 respectively. aj is the growth rate, bị is the predation rate, d, is the death rate, C, is the conversion rate. D1 and D2 are diffusion coefficients. The Initial and boundary conditions are: N; (x,0) = f; (x)> 0, 0 < x < L, i= 1,2A N; = Ni at x =0 and x = LV t, i =1, 2A where Ni are the equilibrium solutions of the given system of equations. Interpret the solution obtained and also write the limitations of the model.
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