What Model structure would be best for student, teacher, course, program, batch and semister entity

Your models have implied meanings, so you'll have to explain a little more.

Clearly Students have a Many-To-Many relationship with Courses. Likewise, Teachers have a Has Many relationship with Courses (Unless you want to allow for a Course having many Teachers, in which case you'll need a Many-To-Many.

Other than that, what's a Program? Is that like Computer Science, where it details a series of Courses required?

What's a Batch? My best guess would be something like Math, where you can have Math Classes, but I could be wrong.

Semesters are clearly just a collection of Courses, so they have a Has Many relationship with them.

Also, I recommend adding in a Section Model, where a Course is just the curriculum, like Algebra, but a Section is an actual instance of the Course. This way, you wouldn't have data redundancy for things like Credit-Hours, Course Name, etc.

Another thing to consider is abstracting out a Person Model, because sometimes Teachers can be Students too.

Thanks for your clear description, and sorry for not providing enough details of the entities: here is the details:

program is like grade1, grade2, grade3 and so on course: English, Bengali, Math, etc batch: 2015, 2016, 2017 etc semister: 1st, 2nd, half-yearly etc

Note: I have users and roles with many to many relationship. Also to separate from users, I also have student and teacher model. Both of these model have one to one relationship with user model.

Basically, I am trying to build a app for south Asian elementary and middle schools.