What shall I do to avoid different date formats and if it applicbleto use dd/mm/yy in all browsers with different date formats

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ASP.NET

MVC

jQuery-UI

I have the following in the code first

[Column(TypeName = "date")]
[DisplayFormat(ApplyFormatInEditMode = true, DataFormatString = "{0:dd/MM/yyyy}")]
public DateTime? starting_date { get; set; }

I have the following in frontend

<label>Starting Date:</label> @Html.TextBoxFor(a => a.starting_date)
@Html.ValidationMessageFor(a => a.starting_date)<br />

I have the following in script

$(document).ready(function () {
    $('#starting_date').datepicker({ dateFormat: "dd/mm/yy" });
});

What I have tried:

what shall I do to avoid different date formats because the validation detecting the browser date format which I can't expect or detect it, is it applicable to use dd/mm/yy format in all browsers with different date formats, or detect the current date format to change datepicker format