what would be some examples for theoretical models?

look up Carnot Cycle. Or PN junction. Or Probability tree. Or Nervous System.

All of what you found is a model of the real system.

Because you titled this human services, I am not really certain what you want, but try these..
http://www.cell-exll.com/trainingmodel.htm
http://en.wikipedia.org/wiki/Statistical_model

I am talking like for homeless people and programs we have for them to get them back on track in life. would this fall under Like work force,learning a job and holding a job manage their money wisely,there shelters, things of this nature. I will check out the sites you sent me. Thanks

http://www.homeless.org.uk/training/inhouse_introduction_to_reminiscence

(Broken Link Removed)

oh thank you so much

so like the community giving hot meals for them would be a good theoretical model?

Or building a shelter for them to live in.
donations for clothing, blankets, etc. is this the direction i need to go in?

a model is a description of anything that describes its structure, or functioning, or interrelationships. A model may be a diagram, a formula, or a descriptive writing.

yes.

Remember, reality is different from the model: how much different is what gauges the effectiveness of the model.

http://www.onelook.com/?w=model&ls=a

We use models all the time to describe reality, because the models simplify reality to an understandable chunk of information.

Theoretical models are simplified representations of real-world systems or concepts that are used to understand, predict, and explain how these systems or concepts function. They are often used in various fields such as physics, economics, biology, and social sciences. Here are a few examples of theoretical models:

1. Newton's Laws of Motion: In physics, Newton's Laws of Motion describe the behavior of objects in motion. These laws provide a theoretical framework to understand the motion of objects and predict their trajectories.

2. Solow-Swan Growth Model: This economic model, developed by economists Robert Solow and Trevor Swan, explains economic growth in terms of capital accumulation, technological progress, and population growth. It provides a theoretical framework to understand the factors influencing a country's long-term economic growth.

3. Darwin's Theory of Evolution: Proposed by Charles Darwin in his book "On the Origin of Species," this theoretical model explains how living organisms change and adapt over time through natural selection, the process of survival of the fittest. It provides a framework to understand the diversity and complexity of life on Earth.

4. Rational Choice Theory: This theoretical model used in social sciences, particularly in economics and political science, assumes that individuals make rational decisions based on their preferences, constraints, and available information. It provides a way to analyze and predict human behavior in decision-making situations.

5. SIR Model of Epidemics: This epidemiological model, commonly used during disease outbreaks, divides the population into three categories: susceptible, infected, and recovered. It helps understand and predict the spread of infectious diseases within a specific population.

To develop theoretical models, researchers often combine existing knowledge, empirical data, mathematical equations, and assumptions to construct a simplified representation of a real-world system. These models are then used to simulate scenarios, conduct experiments, and test hypotheses, providing insights into the functioning of complex phenomena.