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.myRoom No: 028 | Phone: 04-6533656


Profile

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) 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) 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).

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

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

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

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

 Lupine.jpg
harbour.jpg

Natural beauty of New Zealand.
Above: The lupins at Lake Tekapo.
Below: Diamond Harbour, Christchurch.

Teaching & Supervision



Teaching

No. Course Name Course Code
1.

Calculus For Science Students I

MAA101
2.

Differential Equations II

MAT323
3. Modelling Laboratory II MSG382

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)

No. Name of Student Level of Study Title of Thesis Role
1. Ojonubah James Omaiye PhD Mathematical Modeling Of Multi-Species Ecological Dynamics. Main Supervisor
2.

Elshahed Mahmoud Moustafa Mohamed Al E

MSc (Research)

On The Dynamical Analysis Of Fractional Order Prey-Predator Models

Co-Supervisor
3. Fazilah Binti Ahmad MSc (Research) Mathematical Modeling In Dengue Co-Supervisor

Supervision (Completed)

No. Name of Student Level of Study Title of Thesis Role Year of Completion
1. Nur Zahidah Binti Shah Kholit MSc (Mixed Mode - MGM) Modelling Ecological Dynamics of Species Interactions Main Supervisor 2017

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) 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).

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

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

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

6) 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).

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