The Cox Model and Its Applications published in Springer Briefs in Statistics 2016. Written by Mikhail Nikulin and Hong-Dar Isaac Wu.
I enjoyed reading this book although it has no code examples. I think I can figure out the code from the precise equations.
Cox proportional hazards model is a type of survival analysis. The proportional hazards model was put forward by Sir David Cox in 1972.
Chapter 2 covers the basic concepts for models. Including classical parametric models and how to handle censored data.
Chapter 3 covers the cox proportional hazards model including tampered failure time model.
Chapter 5 is about Cross-effect Models of Survival Functions.
5.2 Parametric Weibull Regression with Hetroscedastic Shape parameter.
There are lots more models. I recommend reading the book with a card you have written on explaining in a way you understand the definitions and symbols used in the book.