How to serialize properties with XmlIgnore with json.net

I have a model that i retrieve as json and as xml.

I want to seralize different properties for Json that for xml.

[Serlializable]
class Model
{
     public bool? IncludeAlways {get;set;}

     [XmlIgnore]
     public bool? IncludeForJson {get;set;}

     [JsonIgnore]
     public bool? IncludeForXml {get;set;}
}

Sample use:

new Model()
{
    IncludeAlways = true,
    IncludeForJson = true,
    IncludeForXml = true
};

It results the expected Xml:

<Model>
    <IncludeAlways>true</IncludeAlways>
    <IncludeForXml>true</IncludeForXml>
</Model>

but not the expected json

I expected some json is like this:

{ "IncludeAlways":true, "IncludeForJson":true }

but i have the "IgnoreForXml" property is

{ "IncludeAlways":true }

Using .Net Framework 2.0 Newtonsoft JSON.Net for json and .Net Framework 2.0 standard XmlSerializer for xml. The xml is generated as a result of a WebMethod and i asume that is serialized with the standard XmlSerializer that serialize to xml.