#### Parametric Equation for Capturing Dynamics of Cyber Attack Malware Transmission with Mitigation on Computer Network

Full Text (PDF, 500KB), PP.37-51

##### Author(s)

1. Department of Computer Science, Federal University of Technology Minna , Niger state, 920211, Nigeria.

2. Department of Information and media Technology, Federal University of Technology Minna, Niger state, 920211, Nigeria.

3. Integration and support mobile technologies, amuwo odofin industrial estate apapa-oshodi expresss way, Lagos.

4. Department of Mathematic Science, Federal University of Technology Minna, Niger state ,920211 Nigeria.

* Corresponding author.

Received: 21 Dec. 2016 / Revised: 30 Dec. 2016 / Accepted: 5 Jan. 2017 / Published: 8 Nov. 2017

##### Index Terms

Homotopy Pertubation Method, SIR model, Malicious ware, Stability, Equillibrium

##### Abstract

One distress of network and data security professionals and advisers globally is about the abilities of infectious malicious agents (Malware) to invade the entire network terminals to wreak havoc extending from identity theft, financial fraud to systemic digital assault on critical national resources. This work studies the behavioural dynamics of the susceptible, infected, the recovered terminals on the mobile wireless network and the effective use of antivirus security signature as countermeasure. Solving for stability state, we found out that its Eigen value gives a positive value which means that the stability is at an unstable state. Using Homotopy perturbation to calculate the approximate solution of the system. The expression derived was simulated using a mathematical tool (mat lab).

##### Cite This Paper

Falaye Adeyinka A, Etuk Stella Oluyemi, Adama Ndako Victor, Ugwuoke Cosmas Uchenna, Olujimi Ogedengbe, Seun Ale,"Parametric Equation for Capturing Dynamics of Cyber Attack Malware Transmission with Mitigation on Computer Network", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.3, No.4, pp.37-51, 2017.DOI: 10.5815/ijmsc.2017.04.04

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