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
0
votes
0 answers

Relation between epidemic peak and transmission rate

Does anybody know what is the mathematical relationship between a transmission rate and an epidemic peak in a finite population? Now why is this a purely math problem? Because the "infection" can be reduced to anything: it would be the same thing as…
PublicHealthTrainee
  • 1
0
votes
1 answer

Can anyone explain me please what this terms mean one by one and more explicitly like (1- x/K) and mx/b+x2

Actually it's a prey-predator model (for specifically, Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting). Please help me to understand these terms so that I can explain it and solve it more easily. I…
Sülgün Rejepova
  • 3
  • 2
0
votes
1 answer

Mathematical Modelling on How Many People Needed to Handle Truck Shipment

I'm having a hard time to model a scenario where a certain number of labor needs to complete a loading process to trucks within several hour from its start loading time. In detail: Say there is a planned loading time for trucks, say at 4PM, and…
el-cheapo
  • 103
0
votes
1 answer

What is the difference between a multi-compartment model and a lumped parameters model?

Wikipedia states that a lumped parameter model "simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete elements". A multi-compartment model seems to be exactly the same thing,…
David Cian
  • 486
0
votes
0 answers

How to reduce steepness of logistic curve?

I am simulating an assay with the following equation: $$y = xd(1 - \frac{x}{k})$$ where $d$ is the duplication time and $k$ is the asimptote. However, the simaluted curve (in red) is too steep compared to the actual data (green and blue): Is there…
Gigiux
  • 175
0
votes
0 answers

Using Excel to keep track of maintenance services done on machines

Assume that you buy a caterpillar, and for every 10 hours of work, you need to apply lubricant. For every 100, you need to replace a certain part. For 500 hours, you need to perform any given adjustment. For 1000 hours, you need to have it checked…
MichałM
  • 1
0
votes
1 answer

Vice versa: Model generated curve fitting to real experiment results

Phd student here. For my thesis I have a problem to solve. I have written an algorithm, which generates a curve for some model (alpha-hemolysin makes spores on cell membrane over time). That model uses like $20$ constants: $k_{01},\dotsc,k_{20}$.…
Saulius
  • 1
0
votes
0 answers

Show that $n(t+1)=(1+r)e^{-\alpha n(t)}n(t)$ is equivalent to $n(t+1)=(1+r)^{1-\frac{n(t)}{K}} n(t)$ where $K=\frac{\ln (1+r)}{\alpha}$

Show that $n(t+1)=(1+r)e^{-\alpha n(t)}n(t)$ is equivalent to $n(t+1)=(1+r)^{1-\frac{n(t)}{K}} n(t)$ where $K=\frac{\ln (1+r)}{\alpha}$ I also have to show that $n(t+1)$ will grow when $r<0$ and the initial population is greater than $n=k$. I have…
Alice
  • 1
  • 3
0
votes
0 answers

Examples of Mathematical Models

For an assignment at my uni I have to investigate a mathematical model in detail and analyse the math within it, but currently I'm having a very hard time finding what model I want to do, and I can't find a large list of examples of models and was…
Ryan Taylor
  • 13
0
votes
2 answers

What does the term "canonical problem" mean generally?

What does it mean to say a "canonical problem" in mathematical modelling?
ThreeOrangeOneRed
  • 25
0
votes
1 answer

How to interpret this statment to correctly model it?

How would you formalize the statement: "The vote tally for Gov. Tush was within one-hundredth of one percent of one-half the total number of votes cast"? For example, the answer key claims the correct formalization is: (0.9999) * (total votes cast /…
Matthew S.
  • 268
0
votes
1 answer

Formulating exam score problem

There are $5$ questions: $4$ main questions and $1$ quiz question. $4$ main questions has score $20,\,30,\,30,\,20$ (The sum is $100$). $1$ quiz question equals $50$ points to help the main score. But, the sum of these $5$ questions must not exceed…
user516076
  • 2,200
0
votes
0 answers

Half Life Model question from The Model Thinker - suspecting a book typo

enter image description hereBased on the Half Life Model, if a movie won an Oscar in 2016, and people's memories have a half life of two years, in 2018, what is the proportion of people who would still remember the movie? Question from the book 'The…
Shanice Khoo
  • 1
0
votes
1 answer

How do you do Monte Carlo without computer programs?

I am trying to approximate the area under the curve of $f(x) = \sqrt{x}$ over the integral $1/2 ≤ x ≤ 3/2$. I am so confused on how to use Monte Carlo without the use of a computer program to estimate the area. I integrated $f(x)$ but that gives me…
Advent21
  • 55
0
votes
0 answers

Finding equilibrium values

I am trying to find the equilibrium values of the system: \begin{align} \dot x &= y-3 \\ \dot y &= (x-1)(y-2) \end{align} I know you set each equation equal to 0, but in the first equation, there are no $x$'s and in the second equation I only found…
Advent21
  • 55
1 2 3
…
11 12