In the paper attached, titled "Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment" . I ask about the way to do the figures related with bifurcations and vectors field.
Hi Abdulaziz,
The bifurcation diagram is a qualitative tool use to determine transitions is a dynamical system. They are obtained by plotting the extrema of the system in terms of a chosen bifurcation parameter. Regarding the vector field, excellent exemples are provided in matlab help. You can just adapt your system accordingly.
Best regards
The MATLAB function "quiver" can be used to plot vector fields. MATLAB program to plot the bifurcation diagram of a logistic map are available in the MATHWORKS website. You can modify them for the map which you are dealing with.
You can use dfield and pplane.
Find the link: http://math.rice.edu/~dfield/dfpp.html
Hi Mahmoud
For plotting one- and two-parameter bifurcation diagram of continuous time ODE, you can have a look at MatCont i.e. Matlab based package for numerical continuation and dynamical systems. Alternatively, you can also employ a simple package called XPPAut, which is based on Auto. Try to Google these packages, you will get lots of info about them.
P/s: You can also contact Mahmoud Mustoufa (i.e. our MSc candidate) and try to ask him about this matter.
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