Solving logistic ode for bacterial population growth
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Surabhi Thirumala Srinivasan
on 14 Mar 2018
Answered: Athanasios Paraskevopoulos
on 13 May 2024
Im trying to plot bacterial growth curve of this ode dN/dt = rN(K-N)/K, initial value N(0) = 1000 and parameter values r = 0.002 per sec,
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ZAINAB
on 9 May 2024
Im trying to plot bacterial growth curve of this ode dN/dt = rN(K-N)/K, initial value N(0) = 1000 and parameter values r = 0.002 per sec,
Torsten
on 9 May 2024
Use "ode45" to get N and "plot" to plot the result.
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Answers (1)
Athanasios Paraskevopoulos
on 13 May 2024
% Parameters
r = 0.002; % per second
K = 50000; % carrying capacity (assuming a value, as it is not provided)
N0 = 1000; % initial value
% Time span for the simulation
t_span = [0 10000]; % simulate for 10000 seconds
% Define the ODE function
odeFunc = @(t, N) r * N * (K - N) / K;
% Solve the ODE
[t, N] = ode45(odeFunc, t_span, N0);
% Plot the results
figure;
plot(t, N, 'LineWidth', 2);
title('Bacterial Growth Curve');
xlabel('Time (seconds)');
ylabel('Population (N)');
grid on;
legend('Bacterial Population (N)');
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