how to modify code for distributed delay
41 visualizaciones (últimos 30 días)
Mostrar comentarios más antiguos
Muhammad
el 16 de Ag. de 2024 a las 18:58
Comentada: Muhammad
el 17 de Ag. de 2024 a las 10:38
I have a code, which gives a solution of a delay logistic equation with discrete delay.
tau = 1;
tspan = [0 20];
y0 = 0.5;
sol = dde23(@ddefunc, tau, y0, tspan);
% Plot the solution
figure;
plot(sol.x, sol.y, 'LineWidth', 2);
xlabel('Time (days)');
ylabel('Population');
legend('y');
% Define the delay differential equation
function g = ddefunc(t, y, Z)
r = 1.5;
y_tau = Z;
g = r * y * (1 - y_tau);
end
Now I want to modify my code for distributed delay as attached below.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1754289/image.png)
Can someone guide me how to deal with distributed delay
0 comentarios
Respuesta aceptada
Torsten
el 16 de Ag. de 2024 a las 19:06
r = 1.5;
fun = @(t,x)[r*x(1)*(1-x(2));x(1)];
x0 = [0.5;0];
tspan = [0 20];
[t,x] = ode45(fun,tspan,x0);
plot(t,x(:,1))
grid on
4 comentarios
Torsten
el 16 de Ag. de 2024 a las 20:54
Editada: Torsten
el 16 de Ag. de 2024 a las 20:58
This is the solution for equation (1.6) with r=1.5 and x(0) = 0.5.
If you have something different in mind, you must post it.
Note that the second equation
dy/dt = x, y(0) = 0
gives
y(t) = integral_{tau=0}^{tau=t} x(tau) dtau
as solution, thus the integral in (1.6).
Más respuestas (0)
Ver también
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!