Knockout - Apply seperate view models to specific parts of a view

HTML

<script src="https://github.com/downloads/SteveSanderson/knockout/knockout-2.0.0.debug.js"></script>
<script src="https://raw.github.com/SteveSanderson/knockout.mapping/master/knockout.mapping.js"></script>
<ul id="menu" data-bind="foreach:options">
    <li data-bind="text:option"></li>
</ul>
<br/>
<section id="person"> 
    <p>Hey, <span data-bind="text:fullName"></span>, what are you doing?</p>
    <p><label>First: <input type="text" data-bind="value:firstName" /></label></p>
    <p><label>Last: <input type="text" data-bind="value:lastName" /></label></p>
</section >
<br />
<section id="address"> 
    <p>You live at: <span data-bind="text:fullAddress "></span></p>
</section >

JavaScript

var menuViewModel = {
    options: ko.observableArray([
        { option: 'person'},
        { option: 'address'}
    ])
};

ko.applyBindings(
    menuViewModel, 
    document.getElementById('menu')
);

var personViewModel = new function() {
    var self = this;
    this.firstName = ko.observable('Shiv');
    this.lastName = ko.observable('Da');
    this.fullName = ko.computed(function() {
        return self.firstName() + ' ' + self.lastName();
    });
};    

ko.applyBindings(
    personViewModel, 
    document.getElementById('person')
);

var addressViewModel = new function() {
    var self = this;
    this.address = ko.observable('123 main');
    this.city = ko.observable('Smallville');
    this.state = ko.observable('TX');
    this.zip = ko.observable('12345');
    this.fullAddress = ko.computed(function() {
       return self.address() + ' ' + self.city() + ' ' + self.state() + ' ' + self.zip(); 
    });
};

ko.applyBindings(
    addressViewModel, 
    document.getElementById('address')
);