Data collection of Meltdown and Spectre attacks on host computers has shown that the spread of both computer viruses follows a Susceptible Exposed Infected and Recovered routine or SEIR-model. With this model there are four distinct stages for host computers: susceptible S(t), exposed E(t), infected I(t), and recovered R(t). A system of differential equations models how the population moves from one state to another state. The four states are: S(t) E(t) I(t) R(t) the percentage of host comptuers susceptible to the either computer virus at time, t the percentage of host comptuers attacked by either computer virus at time,t the percentage of host comptuers infected by either computer virus at time, t the percentage of infected computers recovered from either virus at time, t t ? time, measured in seconds Much like the Lotka-Volterra model for describing simple predator-prey systems, the SEIR-model is composed of a standard system of differential equations. This standard system is defined as follows: dS dtaSI(t) dE dl -E (t)-81 (t)-vs(t)/ (t) dt dR 5l(t) With the following parameters: ? percent of time either virus infects a host computer during their interaction ? ? percent of time a host computer's antivirus software prevents an attack y rate at which an attacked host computer becomes a infected ? rate at which infected host computers are fixed v percent of time host computers destroy a virus (or infected computer) when attacked 1a: Solve the SEIR Model using Euler's Method Recent data collection has established the initial conditions for the SEIR system of differential equations in Table I, with parameter values in Table II. You have been tasked to specifically use Mathematica to model the solution equations for the susceptible S(t) exposed E(t), infectedI(t), and recovered R(t) populations. Generate data which approximates the behavior of each of the SEIR functions over 200 days, with a step size of h 1/1000. Your team has previously determined that if the number of infected computers becomes greater than Data collection of Meltdown and Spectre attacks on host computers has shown that the spread of both computer viruses follows a Susceptible Exposed Infected and Recovered routine or SEIR-model. With this model there are four distinct stages for host computers: susceptible S(t), exposed E(t), infected I(t), and recovered R(t). A system of differential equations models how the population moves from one state to another state. The four states are: S(t) E(t) I(t) R(t) the percentage of host comptuers susceptible to the either computer virus at time, t the percentage of host comptuers attacked by either computer virus at time,t the percentage of host comptuers infected by either computer virus at time, t the percentage of infected computers recovered from either virus at time, t t ? time, measured in seconds Much like the Lotka-Volterra model for describing simple predator-prey systems, the SEIR-model is composed of a standard system of differential equations. This standard system is defined as follows: dS dtaSI(t) dE dl -E (t)-81 (t)-vs(t)/ (t) dt dR 5l(t) With the following parameters: ? percent of time either virus infects a host computer during their interaction ? ? percent of time a host computer's antivirus software prevents an attack y rate at which an attacked host computer becomes a infected ? rate at which infected host computers are fixed v percent of time host computers destroy a virus (or infected computer) when attacked 1a: Solve the SEIR Model using Euler's Method Recent data collection has established the initial conditions for the SEIR system of differential equations in Table I, with parameter values in Table II. You have been tasked to specifically use Mathematica to model the solution equations for the susceptible S(t) exposed E(t), infectedI(t), and recovered R(t) populations. Generate data which approximates the behavior of each of the SEIR functions over 200 days, with a step size of h 1/1000. Your team has previously determined that if the number of infected computers becomes greater than
