ASP.NET MVC 4 - Entity Framework Search with AJAX

Hello,
I am currently developing a web application in asp dotnet mvc 4 razor.
I would like to make a search engine (like a filter) for this application.

To make it clearer, here is my Model :

My model : One table Patients

public DbSet<Patient> Patients { get; set; }

public class Patient
{
public int MaladeID { get; set; }
public string Name { get; set; }
public string Surname { get; set; }
public string Age { get; set; }
public string Email { get; set; }
}

In fact, with a form, I record of patients who whose data is stored in the database.
I would among other patients develop a search engine. In this search engine, the keywords to be entered in the search bar will be names and surnames.

I also want to use Ajax to the results to be instantly displayed below the search engine (search bar)

Thank you for your help.