To reduce the model which is a third order system to a first-order system that can be analyzed by our methods The equations are x . = - kxy y . = kxy - ly z . = ly Concept Introduction: Epidemic model which describes the transmission of communicable diseases through individuals. People get sick at the rate proportional to product of x and y. Healthy and sick people encounter to each other at rate proportional to their numbers. Sick people die at a constant rate l. The given equations are based on the above two assumptions.

Question

Want to see the full answer?

Answer 1

Question

Chapter 3.7, Problem 6E

Interpretation Introduction

Interpretation:

To reduce the model which is a third order system to a first-order system that can be analyzed by our methods

The equations are

x. = - kxy

y. = kxy - ly

z. = ly

Concept Introduction:

Epidemic model which describes the transmission of communicable diseases through individuals.

People get sick at the rate proportional to product of x and y. Healthy and sick people encounter to each other at rate proportional to their numbers.

Sick people die at a constant rate l.

The given equations are based on the above two assumptions.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Page of 2 ZOOM + 1) Answer the following questions by circling TRUE or FALSE (No explanation or work required). i) If A = [1 -2 1] 0 1 6, rank(A) = 3. (TRUE FALSE) LO 0 0] ii) If S = {1,x,x², x³} is a basis for P3, dim(P3) = 4 with the standard operations. (TRUE FALSE) iii) Let u = (1,1) and v = (1,-1) be two vectors in R². They are orthogonal according to the following inner product on R²: (u, v) = U₁V₁ + 2U2V2. ( TRUE FALSE) iv) A set S of vectors in an inner product space V is orthogonal when every pair of vectors in S is orthogonal. (TRUE FALSE) v) Dot product of two perpendicular vectors is zero. (TRUE FALSE) vi) Cross product of two perpendicular vectors is zero. (TRUE FALSE) 2) a) i) Determine which function(s) are solutions of the following linear differential equation. - y (4) — 16y= 0 • 3 cos x • 3 cos 2x -2x • e • 3e2x-4 sin 2x ii) Find the Wronskian for the set of functions that you found from i) as the solution of the differential equation above. iii) What does the result…

please help

1. Give a subset that satisfies all the following properties simultaneously: Subspace Convex set Affine set Balanced set Symmetric set Hyperspace Hyperplane 2. Give a subset that satisfies some of the conditions mentioned in (1) but not all, with examples. 3. Provide a mathematical example (not just an explanation) of the union of two balanced sets that is not balanced. 4. What is the precise mathematical condition for the union of two hyperspaces to also be a hyperspace? Provide a proof. edited 9:11