subject
Physics, 01.05.2021 23:30 caitlinsanders

Phase portraits (or phase diagrams) provide a powerful tool to visualize the dynamics of ODE systems. You have been given the option of three easy-to- use programs that make drawing phase portraits very simple. In this seciton, use whichever of these you find convenient. Notice that the basic SIR model can be reduced to a two-dimensional system, because the variable R(t) for recovered individuals does not appear in the evolution equations fir the other two variables. The reduced (S, I) system is thus the following: d S/dt = βSI
d/dt I = βSI – I
and can be plotted in a 2D S-I phase diagram without loss of information. For a fixed set of parameters, draw a phase portrait with trajectories corresponding to different initial conditions. Observe how the course of the epidemic depends on the initial conditions. Draw trajectories for different values of N. For each simulation, identify the maximum value of I, and draw the point on the phase diagram. It is possible to determine analytically the value of S for which the epidemic reaches its peak. Using Ro, we find Siis max = γ/β. Plot these values on your phase diagram, and compare them to the points you obtained previously. Interpret the result. In particular, what happens when So <γ/β?

ansver
Answers: 1

Another question on Physics

question
Physics, 22.06.2019 04:00
What are the three ways that an object can accelerate
Answers: 2
question
Physics, 22.06.2019 10:50
The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)
Answers: 3
question
Physics, 22.06.2019 11:30
Acaterpillar tries to climb straight up a wall a meter high, but for every 2 cm up it climbs, it slides down 1 cm. eventually, it reaches the top. when it reaches the top, it does not pull itself over so it will slide down 1 cm. what is the total displacement traveled?
Answers: 3
question
Physics, 22.06.2019 12:10
Ablock having mass m slides down an inclined plane. the force of friction between the block and the inclined plane is f, the block's weight is m g, and the normal force is n. (a) draw a free – body force diagram showing the forces acting on the block. (b) write down all relevant newton’s equations for a given situation.
Answers: 1
You know the right answer?
Phase portraits (or phase diagrams) provide a powerful tool to visualize the dynamics of ODE systems...
Questions
question
Chemistry, 22.10.2020 21:01