One of the published paper which we are referencing is using cox proportional model to report hazard ratio. I don't know the model and its theory behind it. I am planning to use logistic regression and use the odd ratio to report the relative contribution of each independent variable to the dependent variable. Majority of my independent variables are categorical variables.

Could any statistician explain why I should use cox proportional hazards model instead of Logistic regression? If I choose logistic regression over cox model, what is the disadvantage of it? Will the strength of odd ratio report similar relative contribution of each independent variable to the dependent variable as hazard ratio? Greatly appreciate your help - Thank you