# ⓘ Mathematical modeling ..

## Actuarial Society of South Africa HIV/AIDS models

The Actuarial Society of South Africa HIV/AIDS models, also known as ASSA AIDS models, are a series of mathematical models developed to assist the actuarial profession and the Actuarial Society of South Africa in assessing and addressing the impact of the HIV and AIDS epidemic in South Africa. The models have been developed by the AIDS Committee of the Society and the Center for Actuarial Research at the University of Cape Town in Cape Town, South Africa.

## AIMMS

AIMMS is a prescriptive analytics software company with offices in the Netherlands, United States, China and Singapore. It has two main product offerings that provide modeling and optimization capabilities across a variety of industries. The AIMMS Prescriptive Analytics Platform allows advanced users to develop optimization-based applications and deploy them to business users. AIMMS SC Navigator, launched in 2017, is built on the AIMMS Prescriptive Analytics Platform and provides configurable Apps for supply chain teams. SC Navigator provides supply chain analytics to non-advanced users.

## Analytica (software)

Analytica is a visual software package developed by Lumina Decision Systems for creating, analyzing and communicating quantitative decision models. It combines hierarchical influence diagrams for visual creation and view of models, intelligent arrays for working with multidimensional data, Monte Carlo simulation for analyzing risk and uncertainty, and optimization, including linear and nonlinear programming. Its design, especially its influence diagrams and treatment of uncertainty, is based on ideas from the field of decision analysis. As a computer language, it combines a declarative str ...

## Apparent infection rate

Apparent infection rate is an estimate of the rate of progress of a disease, based on proportional measures of the extent of infection at different times. Firstly, a proportional measure of the extent of infection is chosen as the disease extent metric. For example, the metric might be the proportion of leaf area affected by mildew, or the proportion of plants in a population showing dieback lesions. Measures of disease extent are then taken over time, and a mathematical model is fit. The model is based upon two assumptions: if it were not so constrained, the extent of infection would exhi ...

## Arditi–Ginzburg equations

The Arditi–Ginzburg equations describes ratio dependent predator–prey dynamics. Where N is the population of a prey species and P that of a predator, the population dynamics are described by the following two equations: d N d t = f N − g N P d P d t = e g N P − u P {\displaystyle {\begin{aligned}{\frac {dN}{dt}}&amp;=fN\,N-g{\left\!{\tfrac {N}{P}}\!\right}P\\{\frac {dP}{dt}}&amp;=e\,g{\left\!{\tfrac {N}{P}}\!\right}P-uP\end{aligned}}} Here f N captures any change in the prey population not due to predator activity including inherent birth and death rates. The per capita effect of predators ...

## Automated efficiency model

An automated efficiency model is a mathematical model that estimates a real estate property’s efficiency by using details specific to the property which are available publicly and/or housing characteristics which are aggregated over a given area such as a zip code. AEMs have some similarities to an automated valuation model in terms of concept, advantages and disadvantages. AEMs calculate specific efficiencies such as location, water, energy or solar efficiency. The Council of Multiple Listing Services defines an AEM as," any algorithm or scoring model that estimates the of a home without ...

## ⓘ Mathematical modeling

• A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical
• of math contests exist. MathWorks Math Modeling Challenge International Mathematical Olympiad List of mathematics competitions Kaiser, Gabriele Blum, Werner
• The Center for Mathematical Modeling CMM was created in 2000 to encompass research and training activities that were being conducted by members of the
• Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes
• mathematical modeling of financial markets. Generally, mathematical finance will derive and extend the mathematical or numerical models without necessarily
• of mathematical modelling of spread of disease was carried out in 1766 by Daniel Bernoulli. Trained as a physician, Bernoulli created a mathematical model
• The Mathematical Contest in Modeling MCM is a multi - day mathematical modelling competition held annually in USA, during the first or second weekend in
• The International Mathematical Modeling Challenge IMMC or sometimes IM2C is an international mathematical modeling competition for high school students
• Mathematical exposure modeling is an indirect method of determining exposure, particularly for human exposure to environmental contaminants. It is useful
• LINGO is a mathematical modeling language designed for formulating and solving optimization problems, including linear, integer, and nonlinear programming
• chemistry it concerns itself principally with the mathematical modeling of chemical phenomena. Mathematical chemistry has also sometimes been called computer

## WRF-SFIRE

The WRF-SFIRE this coupled atmosphere-fire model that combines a model of weather forecasting and research with the fire-spread model, implemented on the level-set method. Version 2010 was released on the basis of the model 3.2 WRF as WRF-fire.