Numerical study and parameter estimation for fractional order epidemic models

Study level


Master of Philosophy


Vacation research experience scheme

Topic status

We're looking for students to study this topic.


Professor Fawang Liu
Division / Faculty
Science and Engineering Faculty


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


  • 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)


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

Annual scholarship round



Contact the supervisor for more information.