Mohd Hafiz bin Mohd

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Dr. Mohd Hafiz bin Mohd
PhD Computational and Applied Mathematics, University of Canterbury, NZ.
MSc Mathematics, Universiti Sains Malaysia.
BSc (Hons) Mathematics, Imperial College London.
Associateship of Royal College of Science (ARCS), UK.

Email: mohdhafizmohd@usm.my | Room No: 028 | Phone: 04-6533656

ORCID ID: https://orcid.org/0000-0001-7918-3003  


Profile

Overview:

Dr Hafiz joined the School of Mathematical Sciences, USM, as a lecturer in 2016. He is a researcher working in the field of Mathematical Modelling. His research uses continuation and simulation methods to improve our predictions of species geographic distributions in nature. He is also interested in modelling the problems in engineering and other biological systems such as epidemiology and ecology. To address these problems, he employs deterministic models and stochastic individual-based models. He uses the techniques from differential equations, dynamical systems, numerical continuation and stochastic processes to develop mathematical and computational tools to answer a range of biologically inspired questions.

     Research Interest:
  • Mathematical Modelling
  • Theoretical Ecology (and Biology)
  • Numerical Continuation, Dynamical Systems and Bifurcation Theory
  • Individual-Based Models in Ecology

Selected publications:

1) Diversity in interaction strength promotes rich dynamical behaviours in a three-species ecological system. 2019 Applied Mathematics and Computation, 353: 243-253 (Elsevier: Impact Factor 3.092).

2) Effects of different dispersal patterns on the presence-absence of multiple species. 2018 Communications in Nonlinear Science and Numerical Simulation, 56: 115-130 (Elsevier: Impact Factor 3.967).

3) Bifurcations and chaos in a discrete SI epidemic model with fractional order. 2018 Advances in Difference Equations, 1: 44 (Springer: Impact Factor 1.066).

4) Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge. 2018 Chaos, Solitons & Fractals, 109: 1-13 (Elsevier: Impact Factor 3.064).

5) Effects of biotic interactions and dispersal on the presence-absence of multiple species. 2017 Chaos, Solitons & Fractals, 99: 185-194 (Elsevier: Impact Factor 3.064).

6) Effects of dispersal and stochasticity on the presence –absence of multiple species. 2016 Ecological Modelling, 342: 49-59 (Elsevier: Impact Factor 2.634).

Research Highlight: https://www.journals.elsevier.com/communications-in-nonlinear-science-and-numerical-simulation/highlighted-articles/finding-new-homes

Experience:

  • External Examiner (Reader) for University of the Phillipines Baguio MSc Thesis.
  • Chairperson for the Southeast Asian Mathematical Society (SEAMS) School 2018 on Dynamical Systems and Bifurcation Analysis (DySBA).
  • Chairperson for Workshop on Complex Systems Modelling & Simulation 2019 (CoSMoS 2019): IoT & Big Data Integration
  • Keynote Speaker for:
    - National Symposium on Mathematical Analysis and its Applications (SNAMA 2019) - Mathematical Analysis Community in Indonesia.
  • Invited Speaker for:
    - SEAMS School 2018 on DySBA.
    - Institute of Engineering Mathematics (UniMAP) Seminar Series
    - University of the Phillipines Baguio Research Seminar
  • Editor for Springer-Nature Edited Volume.
  • Reviewer for the following research journals:
    - Theoretical Ecology (Springer).
    - International Journal of Systems Science (Taylor & Francis).
    - Bulletin of the Malaysian Mathematical Sciences Society (Springer).
    - Sains Malaysiana (UKM Press).

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Natural beauty of New Zealand.
Above: The lupins at Lake Tekapo.

Below: Diamond Harbour, Christchurch.

Awards:

- 2017 & 2018 USM Sanggar Sanjung Awards (Journal Publication)
- 2018 USM Excellent Service Award
- Malaysian Mathematical Sciences Society First Prize Award (Masters Thesis)
- Travel Grant Award for ANZIAM
- Kalman Summer New Zealand Scholarship Award

Teaching & Supervision



 Teaching

No. Course Code Course Name
1. MAA 101 Calculus for Science Students I
2. MAT 323 Differential Equations II
3. MSG 382 Modelling Laboratory II

 

Potential FYP/MSc/PhD projects

I am available to supervise motivated students, and especially welcome enquiries from well-prepared and enthusiastic candidates. Currently, I have several projects that would be suitable for final year, Masters or PhD students in mathematical modelling. In particular, for those who are interested to do research in dynamical systems and bifurcation theory, ecological dynamics and individual-based modelling.

I am also able to co-supervise projects in applied dynamics (particularly in biology and chemical engineering) and mathematics education. If you are interested in studying any of these (or if you have your own idea for a project), please get in touch with me for further details.


Supervision (Active)

Screenshot 2019 05 15 at 9.53.13 AM

Supervision (Completed)

Screenshot 2019 05 15 at 9.53.23 AM

Research

List of Publications

Published Papers:

1) Effects of different dispersal patterns on the presence-absence of multiple species. Communications in Nonlinear Science and Numerical Simulation. 2018 56: 115-130 (Elsevier: Impact Factor 2.784).

2) Bifurcations and chaos in a discrete SI epidemic model with fractional order. 2018 Advances in Difference Equations, 1: 44 (Springer: Impact Factor 0.335).

3) Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge. 2018 Chaos, Solitons & Fractals, 109: 1-13 (Elsevier: Impact Factor 1.628).

4) Effects of biotic interactions and dispersal on the presence-absence of multiple species. 2017 Chaos, Solitons & Fractals, 99: 185-194 (Elsevier: Impact Factor 1.628).

5) Effects of dispersal and stochasticity on the presence –absence of multiple species. 2016 Ecological Modelling, 342: 49-59 (Elsevier: Impact Factor 2.275).

6) Modelling the spatiotemporal dynamics of diffusive prey-predator interactions: Pattern formation and ecological implications, 2013 ScienceAsia, 39: 31-36.

7) Pattern Formation in a Two-Dimensional Space Diffusive Prey-Predator Model, 2012 Journal of Applied Sciences, 12: 2016-2025. 

8) On the Decay of Energy in a Diffusive Prey-Predator Model, 2012 Journal of Applied Sciences, 12: 2252-2258.


Conference Proceedings:

1) On the Implementation of Finite Element Method to Investigate the Dynamics of Prey-Predator Model with  Two-Dimensional Diffusion, 2012 In American Institute of Physics Conference Proceedings, AIP Conf. Proc. 1482, 1-3.

2) On the Construction of Invariant Region for a Diffusive Prey-Predator Model, In Proceedings of The 2nd Regional Conference on Applied and Engineering Mathematics, 30-31 May 2012, Penang, Malaysia.

3) Spatio-temporal Patterns of a Diffusive Prey-Predator Model in Two-Space Dimension, In Proceedings of The International Conference on Computer Engineering & Mathematical Sciences (ICCEMS) 2012, 27-28 August 2012, Kuala Lumpur, Malaysia.

Others

Professional Membership
1) Australian and New Zealand Industrial and Applied Mathematics (ANZIAM)
2) Te Pūnaha Matatini (New Zealand Centre of Research Excellence in Complex Systems)
3) New Zealand Mathematical Society (NZMS)
4) New Zealand Ecological Society (NZES)
5) Malaysian Mathematical Sciences Society (PERSAMA)

Recognition
1) Associateship of Royal College of Science (ARCS), UK.
2) 2014 Malaysian Mathematical Sciences Society Award - First Prize (Master’s Thesis).
3) 2014 Student Travel Grant for Australian and New Zealand Industrial and Applied Mathematics (ANZIAM).
4) 2016 Kalman Summer Scholarship.

Referee for the following research journals and conference proceedings
1) Theoretical Ecology (Springer: Impact Factor - 2.085).
2) International Journal of Systems Science (Taylor & Francis: Impact Factor - 1.947).
3) Journal of Mathematics Research (Canadian Center of Science and Education - Indexed in MathSciNet).
4) ESTEEM Journal of Science and Technology (UiTM Press).
5) The 2nd Applied Mathematics in Science and Engineering (APPEMSE 2017) International Conference Proceedings (Malaysia Technical Scientist Association).
6) The 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017).
7) The 3rd International Conference on Computing, Mathematics and Statistics 2017 (iCMS2017) .
8) The 5th Joint International Conference on New Challenges for Statistical Software: The Use of R in Official Statistics (UROS2017) – Asia Pacific.
9) The 25th National Symposium on Mathematical Sciences (SKSM25) - AIP Conference Proceedings.
10) The 2012 IEEE Colloquium on Humanities, Science & Engineering Research (CHUSER 2012) Conference Proceedings (UiTM Press).
11) The 2012 IEEE Symposium on Business, Engineering and Industrial Applications Conference Proceedings (UiTM Press).

Conferences and Training

2013
1. New Zealand Mathematical Society (NZMS) Colloquium, Tauranga, New Zealand (Contributed Talk).
2. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM), Rotorua, New Zealand (Contributed Talk).

2014
1. Canterbury Biomaths, Christchurch, New Zealand (Poster).
2. New Zealand Mathematics and Statistics Postgraduate (NZMASP) Conference, Whitianga, New Zealand (Contributed Talk).
3. Set Oriented Numerics (SON), Christchurch, New Zealand (Participant).

2015
1. Te Pūnaha Matatini Whānau Symposium, Kaikoura, New Zealand (Poster).
2. Te Pūnaha Matatini Complexity and the Biosphere Symposium, Christchurch, New Zealand, (Contributed Talk).
3. Te Pūnaha Matatini Complexity and the Biosphere Research Meeting, Wellington, New Zealand (Participant).
4. New Zealand Ecological Society (NZES) Conference, Christchurch, New Zealand (Contributed Talk).
5. New Zealand Mathematical Society (NZMS) Colloquium, Christchurch, New Zealand (Contributed Talk).
6. Te Pūnaha Matatini Whānau Annual Research Meeting, Christchurch, New Zealand (Participant).

2016
1. NZMRI Summer School on Continuation Methods, Raglan, New Zealand (Participant ).

2017
1. 25th National Symposium on Mathematical Sciences, Kuantan, Malaysia (Contributed Talk).

Recognition 1) Associateship of Royal College of Science (ARCS), UK. 2) 2014 Malaysian Mathematical Sciences Society Award - First Prize (Master’s Thesis). 3) 2014 Student Travel Grant for Australian and New Zealand Industrial and Applied Mathematics (ANZIAM). 4) 2016 Kalman Summer Scholarship.

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