Solving logistic ode for bacterial population growth

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,

[ZAINAB]

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]

Use "ode45" to get N and "plot" to plot the result.

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Answer 1

[Athanasios Paraskevopoulos]

% 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)');