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.

2372 questions
1
vote
0 answers

Where should I start from if I want to learn Mathematical Modeling?

I am a student of political science and have basic knowledge of mathematics. But I need to learn Mathematical Modeling if I want to continue a research of mine. I'm willing to spend even 1 or 2 years behind it. But I cannot understand where to…
Anontu
  • 11
1
vote
2 answers

Mathematical models in psychology

Do you know examples of application of mathematics in psychology besides statistical data processing? For example, do there exist mathematical models of addiction to Internet sites?
jokersobak
  • 348
  • 1
  • 13
1
vote
2 answers

Finding a good parametric form for a model

Hello I am trying to model the relationship between two variables, say x and y. I have a number of subjects - for each subjectm I have a number of x and corresponding y, both of which are always positive. This data tends to be very sparse. There…
grg s
1
vote
1 answer

Good model to reward contributions

I hope you guys find this an interesting question. Imagine you want to implement a system that rewards people for their contributions (regardless of quality or any external assessment). What is a good model, considering the following conditions: It…
r_31415
  • 2,934
1
vote
1 answer

adding error terms to a mathematical model

I am reading a heuristic model of a herding activity of some animals. The mathematical (heuristic) model that was developed understandably includes an error term to account for a little randomness/non-deterministic behavior that occurs in the…
cgo
  • 1,810
1
vote
0 answers

Mathematic modelisation of a gym members

i'm working on a business case, where i should run a gym (gym club/fitness club). I want to know if there's some well know mathematic modelisations ready made for that kind of cases. For instance, let's say i have 100 members, is there a formula…
H. Vilbert
  • 9
1
vote
1 answer

Is there any tool that could turn a Petri Net into system of math equations?

I have a colored, descrete Petri Net. I have a picture. How to get a math (ODE\DE\system of equations) representation of it?
DuckQueen
  • 169
1
vote
1 answer

Stationary points of an ODE-system (again)

There is another exercise where I am given a non-linear system of ODEs and a question that confuses me: Consider $$x'=x(y+1)\\ \text{ and }\\ y'=xy+2.$$ "Determine stationary points of the system, and linearize the system at the stationary…
Marie. P.
  • 1,723
1
vote
1 answer

Need some help on petri nets?

Here's the question: $\qquad$ How do we go about doing this ? I have very little knowledge on petri nets. Can someone answer it for me ? (And regarding the program part , just give me an idea on what to do maybe like an algorithm?) Thanks so much !
Juggalox
  • 49
1
vote
1 answer

Spring-mass System Phase Plane

If a spring-mass system has a friction force proportional to the cube of velocity, then $$m\frac{d^2x}{dt^2} + a\left(\frac{dx}{dt}\right)^3 + kx = 0$$ (a) Derive a first-order differential equation describing the phase plane ($\frac{dx}{dt}$ as…
cr305
  • 13
1
vote
1 answer

Questions about Disease Model

A non-fatal infectious disease divides a population into two groups: normal or ill. Assume that the average number of contacts that each ill individual has with normal individuals is $a$ multiply the size of the normal population (i.e. $aN$), and…
user133140
  • 885
1
vote
1 answer

How would I rearrange this equation to make the subject $t$?

$$s(t) = 4t + \frac2{t-3} + \frac23$$ where $s$ represents the position of either particle in the tubular cloud-chamber measured in centimetres, while $t$ represents the time in nano-seconds. It's for the following problem: A sub-atomic particle is…
Christy McGrory
  • 37
1
vote
1 answer

Differential Equation - Blood Alcohol

Let C(t) be the concentration of alcohol in a person's bloodstream. We propose a mathematical model which states that, once a person stops drinking alcohol, C decreases at a rate that is proportional to C. Write down a differential equation…
user198387
0
votes
1 answer

How can you find orbits of period 2 of the tent map

$f(x) = \begin{cases} \mu x &\text{ for } 0\leq x\leq 0.5 \\ \mu(1 - x) &\text{ for } 0.5 < x \leq 1 \end{cases}$ I am to find the orbits of period 2. By using google I found an example I tried to follow, which is located here. First, I find the…
SOULed_Outt
  • 963
0
votes
2 answers

Parabola investigation

Edit 4: I added the below picture for clarity I'm trying to figure out how to find the angle between the red line and the blue line, but I have no idea how to start. (I have a feeling that this somehow involves physics? I have not taken physics…
user156248
  • 35
  • 9
1 2 3
…
11 12