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Decks in this class (25)
Methods
Shape exp functs 1,
Shape of function f w 1 w 099exp ...,
Ln ab 3
21
cards
1 Exponential growth
Immigration model 1,
Dimensionality analysis 2,
Exponential growth model 3
10
cards
2 Dynamics of single population
Logistic growth model 1,
Stability logistic growth model 1,
Usefulness dn t dt f n t plotting...
24
cards
3 T-cell populations
T cell populations 1,
T cell populations n t 2,
T cell populations ode 3
9
cards
4 Deterministic and stochastic modelling
Deterministic models 1,
Spacial models 2,
Stochastic models 3
15
cards
4b Spruce budworm model L5 ADDED
Spruce budworm model insect pest ...,
Spruce budworm model dimensions 2,
Spruce budworm scaling change of ...
8
cards
5 Predator prey model
Predator prey model assumptions a...,
Predator prey model change of vars 2,
Can we solve change of vars preda...
8
cards
6 Two ODEs: steady states and stability
U nullcines v nullclines 1,
In general 2 odes interacting pop...,
In general 2 odes interacting pop...
15
cards
7 SIR Epidemic models
Sir models pop subject to disease 1,
Sir epidemic model 2,
Sir model initial conditions 3
18
cards
8 Enzyme kinetics
Enzyme kinetics background 1,
Enzyme kinetics odes the hypothes...,
Enzyme kinetics dimensions 3
17
cards
9 Viruses
Intro background to virus 1,
Viruses three pop model 2,
Viruses three pop model 3
14
cards
10 12 Probability generating functions
Assume x 1,
Pgf of x 2,
P 3
34
cards
11 13 Branching processes in discrete time
Look at notes 1,
Branching processes in discrete t...,
Branching processes in discrete t...
29
cards
14 stochastic processes in continuous time
Stochastic processes in continuou...,
The simple death process assumpti...,
The death process probability dis...
27
cards
15 birth and death processes
Formally a birth and death proces...,
Birth an death process 2,
Birth an death process 3
9
cards
16 Branching processes in continuous time L5 content chapter
Generating function for continous...
1
cards
17 brownian Motion and diffusion equation in one spatial dimension
We consider partial derivatives f...,
Standard brownian motion 2,
Why is diffusion equation nice fo...
20
cards
18 Solutions of the one-dimensional diffusion equation
The one dimensional diffusion equ...,
Solving the one dimensional diffu...,
Checking the solution of the one ...
52
cards
19 one dimensional wiener process and exit from an interval
The standard brownian motion in 1...,
The standard brownian motion in 1...,
The standard brownian motion in 1...
6
cards
20 brownian motion in space
Extending brownian motion to a pl...,
Extending brownian motion to a pl...,
Extending brownian motion to a pl...
21
cards
24 Age-structured populations (MATH5566M extra topic)
Consider the pop growth equation ...,
Consider structure of a population 2,
Density over the continuous ages 3
26
cards
21 tumor sizes
Here we shall focus on two types ...,
Instead of modelling the tumour c...,
Tumor models hence the diffusion ...
19
cards
22 Models of population growth and diffusion
Why we consider reaction diffusio...,
Reaction diffusion models are of ...,
Reaction diffusion models are of ...
27
cards
25 turing instability
Morphogenesis 1,
Diffusion driven instability 2,
The reaction diffusion equations 3
18
cards
23 moving populations and travelling waves
23 moving pops and travelling wav...,
Wave of advance of advantageous g...,
Fisher equation assumptions 3
32
cards
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ADV MATH BIO MATH3566 MATH5566
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