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Solving logistic ode for bacterial population growth

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Surabhi Thirumala Srinivasan
回答： Athanasios Paraskevopoulos 2024-5-13

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,

  2 个评论
ZAINAB
ZAINAB 2024-5-9
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
Torsten 2024-5-9
Use "ode45" to get N and "plot" to plot the result.
If you have problems, you should invest two hours of your time to pass MATLAB Onramp, an introductory MATLAB tutorial free of costs, to learn the basics of the new language:
https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

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回答（1 个）

Athanasios Paraskevopoulos
Ran in:
% 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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