Numerical study and parameter estimation for fractional order epidemic models

Overview

In the last decades, some epidemic diseases have been found to cause problems whose magnitude has increased dramatically. The World Health Organization (WHO) recently stated that it is the most important arthropod-borne viral disease of humans.

These epidemic diseases include dengue, HIV/AIDS, H1N1, Leptospirosis, Measle, SIR, SIRC, SEIR, Salmonella Bacterial. Fractional derivatives epidemic systems have also been used to deal with some epidemic behaviors.

This proposal aims to carry out innovative and novel research on developing effficient, robust, accurate computational models and parameter estimation techniques for fractional order epidemic models.

Research activities

Activities will include:

• conducting a thorough preliminary literature review
• undertaking coursework where needed
• attending School Seminars and fractional group meetingdeveloping a rigorous theoretical analysis of fractional models.
• deriving, designing and implementing numerical methods for solving fractional differential equations

Outcomes

• PhD: write 4-6 Q1 journal papers
• Honours or Master of Philosophy: write 1-2 Q1 journal papers
• Vacation research experience scheme: write one paper

Skills and experience

• Discuss with proposed supervisor (Computational Mathematics, MATLAB) .           
• Honours, or Master of Philosophy students must have the potential and an interest in undertaking postgraduate research study for PhD.
• Students (Vacation Research Experience Scheme)  must have the potential and an interest in undertaking postgraduate research study (Honours, Masters or PhD)

Scholarships

You may be able to apply for a research scholarship in our annual scholarship round.

Annual scholarship round

Keywords

• fractional dynamical models
• numerical methods
• numerical analysis
• parameter estimation

Contact

Contact the supervisor for more information.