## Question

Toutonji, Yoo, Park paper:

Write the steps in getting the equilibrium points (worm free and worm epidemic) given in (10) and (11).

Then give the Jacobian matrix and verify the Jacobian matrix for each equilibrium point (so (12) and (19)). Find the characteristic polynomial of the Jacobian matrix for worm-epidemic equilibrium and verify what they have for it in the paper (given after (19)). What is the stability of each equilibrium point?

Roberto, Piqueira, Araujo paper:

Compute the disease-free equilibrium points and show how they get P_1 and P_2. Find the Jacobian matrix and verify their Jacobian matrix for P_1 and P_2 and compute the eigenvalues for P_1 and P_2 and verify what they give for them. For endemic equilibrium point verify their Jacobian matrix. No need to show how they get the endemic equilibrium point. What is the stability for each equilibrium point (disease free and endemic)?

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

Stability analysis of VEISV propagation modeling for network worm attackIn this paper, “Stability analysis of VEISV propagation modeling for network worm

attack” having vulnerable – exposed – infectious – secured – vulnerable, combined together and say VEISV which is a network worm attack model. This model is appropriate for measuring the effects of security countermeasures on worm propagation. In this work author takes into consideration accurate positions for dysfunctional hosts and their replacements in state transition. Authors derive global stability of a worm-free state as well as local stability for a unique worm-epidemic state by using the reproduction rate. Also authors discuss the simulation results to show the positive impact of increasing security countermeasures in the vulnerable state on worm-exposed and infectious propagation waves. At last they find the equilibrium points are confirmed by phase plots....

By purchasing this solution you'll be able to access the following files:

Solution.docx.