Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [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 modelling.

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modelling. Mathematical models are used not only in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (e.g. computer science, artificial intelligence), but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, statisticians, operations research analysts and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.

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what is the meaning of Ricker model?

How can I interpret Ricker model? It is about population model but it has the term $e^{1-x}$ see: $$a_{t+1} = a_t e^{r\left(1-\frac{a_t}{k}\right)}.$$ http://www.dma.uvigo.es/~eliz/pdf/oman.pdf http://en.wikipedia.org/wiki/Ricker_model
user7879
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A model for melting and for weaving or interweaving?

I would like to know whether there are mathematical models for the processes of melting (like an ice-cream melting on the biscuit rather than snow) and weaving (or interweaving). If so, of what kind? If you need more specification, please tell…
Javier Arias
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I'm having trouble finding the right direction to take in this HIV modeling exercise

Cells that are susceptible to HIV infection are called T (target) cells. Let $T(t)$ be the population of uninfected T-cells, $T*(t)$ that of the infected T-cells, and $V(t)$ the population of the HIV virus. A model for the rate of change of the…
Jaider
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After how many bounces is the ball subsequently always less than 5cm from the ground?

a). A ball is thrown vertically upwards with a speed of 20 metres per second from a point 3 metres above the ground. Find the speed with which it hits the ground. b). If the ball rebounds with a speed two thirds of the speed it hits the floor, find…
ltyw
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How much money should be able available in his fund?

George have just started the job, plan to invest a part of his paycheck( a fixed monthly investment) into his retirement fund. After the retirement, george would like to be able to draw an income of $\$25000$ per month for $20$ years. If the…
Alhabud
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Mathematical Modelling Homework

Considering a situation in which two motorists, person A and B, share the same driving route but own different sized vehicles. Person A fills up the vehicle’s tank at a station along normal route for $US"x_1"$ per litre. On the other hand, person B…
Moses
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How did the author make this leap?

In this paper, the authors examine a common differential equation model for the concentration of a drug in the blood. In the paper, they begin with the following expression $$ \mu(t)=\frac{D k_{a}}{V\left(k_{a}-k_{e}\right)}\left\{\exp \left(-k_{e}…
Demetri Pananos
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A mathematical model to get a probability of finding players at a particular location on the map in the game PUBG

I assume you are aware about the game PUBG (see the Wikipedia entry), where 100 players are dropped on island, and last team/individual to survive wins. I was thinking about a mathematical model/framework for determining the probability of finding…
Samdare
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What is the ultimate goal of mathematics?

I have learned through studying theoretical physics that the ultimate goal of physics is to unify all the fundamental forces and build a theory of everything . Almost all the physicists are working to do that ; to derive an equation that is able to…
Laptop
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Can you explain with examples what exactly is mathematical modeling to a person that is not very good with math?

Please explain with examples what exactly is mathematical modeling to a person that is not very good with math.
vasili111
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Solving a modified logistic equation

How can we solve a modified logistic equation? $$\frac{dP}{dt}=rP \left(1-\frac{P}{k}\right)-c$$ Where $k$, $r$ and $c$ are constants.
Brian Q
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confusion about SIR model

So SIR model is like this: S(n) - S(n-1) = -alpha*S(n-1)I(n-1); I(n) - I(n-1) = alpha*S(n-1)I(n-1) - beta*I(n-1); R(n) - R(n-1) = beta*I(n-1); so the susceptible number is decreasing because every time there will be a certain portion of susceptible…
Tony Chen
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Generate Ratings

I am working on a project where a movie review is given and I've to check whether the movie is good or bad by analyzing the review. Using Language processing I've extracted the percentage of supported words(Good) and unsupported words(Bad) in…
Ahmad Vaceem
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Predator and prey model: non-dimensionalization

I've been trying to non-dimensionalize the differential equations for the predator and prey model. I've written down the procedure below which I was using for non-dimensionalizing the differential equations but I am not sure that whether I'm…
reaper
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