A formal framework to convey ideas about the components of a host-parasite interaction. Construction requires three major types of information: (a) a clear understanding of the interaction within the individual host between the infectious agent and the host, (b) the mode and rate of transmission between individuals, and (c) host population characteristics such as demography and behaviour. Mathematical models can aid exploration of the behaviour of the system under various conditions from which to determine the dominant factors generating observed patterns and phenomena. They also aid data collection and interpretation and parameter estimation, and provide tools for identifying possible approaches to control and for assessing the potential impact of different intervention measures.

Related Topics: [ model] A set of mathematical equations which attempts to predict the behavior of a physical system(s). For example, the Rational Formula, Q = Cia, is a mathematical model for peak runoff rate prediction with a single dependent variable, Q, and three independent parameter s: C, i and A. Often the term "simulation model" is used in lieu of mathematical model, because the relationships are intended to simulate actions of physical systems.

a model that can be described by a set of equations

an abstract model that uses mathematical language to describe the behaviour of a system

an abstract representation of a real system using equations and simulation refers to the use of those equations to predict the performance of such systems under a given set of conditions

an equation, along with descriptions and units of the variables, that describes a real-life situation

a n equation that discriges the relationship between two quantities

a quantitative representation, or approximation, of a real problem

a rendering of some real-world system into the language of mathematics, usually taking the form of a single partial differential equation, or a system of such equations

a representation of a real system

a representation of how something is going to behave, most often how things are going to change over time

a representation of the pertinent aspects of a given

a set of equations that can be used to predict the behavior of the phenomenon being observed

a set of equations that mimic a real situation and predict what will happen under different circumstances

a set of equations which describe what we think would happen to something if we really built it the way that it is described in the model

a system of equations that attempt to describe the properties of the atmosphere and changes that may take place within it

a way of representing the relationship between two or more variables in a quantitative fashion, as an equation or system of equations

A collection of functions or expressions used to predict behaviors and approximate values of quantities in the world.

A series of equations or graphical relationships that describe relationships between variables in a precise way.

A collection of equations describing the measurable quantities in a particular setting (both constants and variables) and their interrelationships.

A mathematical equation or equations which can be used to numerically compute a system`s response to a particular input.

Model used during risk assessment to perform extrapolations.

An abstraction of a real-world problem into a mathematical problem. Creating a mathematical model can involve making assumptions and simplifications; creating geometric figures, graphs, and tables; or finding equations that approximate the behavior of a real event. The mathematical problem can then be solved. When the solution is interpreted it may provide a solution to the real-world problem (Lesson 1.6).