plot the beverton-holt recruitment model in matlab

To plot the Beverton-Holt recruitment model in MATLAB, you can follow these steps:

  1. Define the model parameters:
main.m
alpha = 1.0;    % intrinsic growth rate
beta = 0.2;     % density-dependent factor
K = 100;        % carrying capacity
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  1. Define a range of values for the initial population size:
main.m
N0 = 1:1:K;
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  1. Calculate the equilibrium population size using the Beverton-Holt equation:
main.m
Neq = K./(1 + ((K-1)/N0)*(alpha/beta));
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  1. Plot the relationship between N0 and Neq:
main.m
plot(N0, Neq)
xlabel('Initial Population Size')
ylabel('Equilibrium Population Size')
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The complete code is as follows:

main.m
% Define the model parameters
alpha = 1.0;    % intrinsic growth rate
beta = 0.2;     % density-dependent factor
K = 100;        % carrying capacity

% Define a range of values for the initial population size
N0 = 1:1:K;

% Calculate the equilibrium population size using the Beverton-Holt equation
Neq = K./(1 + ((K-1)/N0)*(alpha/beta));

% Plot the relationship between N0 and Neq
plot(N0, Neq)
xlabel('Initial Population Size')
ylabel('Equilibrium Population Size')
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This will produce a plot of the Beverton-Holt recruitment model with the initial population size on the x-axis and the equilibrium population size on the y-axis.

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