PROF. DR. ROSLAN HASNI @ ABDULLAH

Roslan Hasni is currently a Professor at Universiti Malaysia Terengganu (UMT), Terengganu, Malaysia. He received the M.Sc. degree from Universiti Kebangsaan Malaysia (UKM), Selangor, Malaysia, and the PhD degree in Pure Mathematics (Graph theory) from Universiti Putra Malaysia (UPM), Selangor, Malaysia, in 2000 and 2005, respectively. He was formerly attached to the School of Mathematical Sciences, USM Penang, Malaysia, from 2005 to 2012. He published more than 120 papers in reputable journals and conference proceedings. He is an editorial member of some recognized journals, including MATI (Mathematical Aspects of Topological Indices), the Iranian Journal of Mathematical Chemistry (IJMC), the Journal of Mathematical Sciences and Informatics (UMT Terengganu), the Open Journal of Discrete Applied Mathematics (ODAM), and the Computational Journal of Graphs and Combinatorics (CJGC). His research interests are chromaticity in graphs, domination in graphs, graph labeling, chemical graph theory (topological indices), neutrosophic graphs, k-step Hamiltonian graphs, and social network analysis.

RELATIONSHIP BETWEEN DEGREE BASED TOPOLOGICAL INDICES WITH DOMINATION PARAMETERS IN GRAPHS 

Concepts related to domination in graphs can be traced back to the mid-1800s in connection with various chessboard problems, domination was first defined as graph-theoretical concept in 1958. Domination in graphs experienced rapid growth since its introduction resulting in over 1200 papers published by the late 1990s. A chemical molecule can be viewed as a graph. In the molecular graph, the vertices represent the atoms of the molecule and the edges are chemical bonds. A topological index is a mathematical parameter used for studying various properties of the molecule. Relationships between various topological indices and graph parameters have been the focus of interest of researchers for quite many years. In this talk, we present some latest results on the relationship between topological indices and domination parameters in graphs. Some open problems for further research will be given. 

PROF. DR. KENJI KAJIWARA

Kenji Kajiwara is a Professor the Institute of Mathematics for Industry  (IMI), Kyushu University, Japan since 2011. He has been taking the role of Director of the IMI since 2022. He was awarded a Ph.D. from The University of Tokyo in 1994, then served as a lecturer and an associate professor in the Department of Electrical Engineering at Doshisha University, Kyoto, Japan. He became an associate professor at the Faculty of Mathematics, Kyushu University, in 2001 and was promoted to professor in 2009. Upon the inauguration of the IMI, he served as a founding member. His mathematical expertise is integrable systems and (discrete) differential geometry. He founded the research activity group “Geometric Shape Generation” in JSIAM and is promoting its activity. Currently, he is leading the interdisciplinary research project “Evolving Design and Discrete Differential Geometry – towards Mathematics Aided Geometric Design,” funded by JST, with researchers in mathematics, architecture, and industrial design. He is contributing to the mathematical community in Japan by serving as a Vice President of Japan SIAM for 2020-2022 and as a Board Member since 2023, together with an associate member of the Science Council of Japan since 2023. At the international level, he has been serving as the Honorary Secretary of the Asia Pacific Consortium of Mathematics for Industry (APCMfI) since 2021 and also an Officer-at-Large of the International Council for Industrial and Applied Mathematics (ICIAM) since 2023.

GENERATION OF AESTHETIC SHAPES BY INTEGRABLE DIFFERENTIAL GEOMETRY

In this talk, we consider a class of plane curves called log-aesthetic curves (LAC) and their generalizations which have been developed in industrial design as the curves obtained by extracting the common properties among thousands of curves that car designers regard as aesthetic.  We consider these curves in the framework of similarity geometry and characterize them as invariant curves under the integrable deformation of plane curves governed by the Burgers equation. We propose a variational principle for these curves, leading to the stationary Burgers equation as the Euler-Lagrange equation.

We then extend the LAC to space curves by considering the integrable deformation of space curves under similarity geometry. The deformation is governed by the coupled system of the modified KdV equation satisfied by the similarity torsion and a linear equation satisfied by the curvature radius. The curves also allow the deformation governed by the coupled system of the sine-Gordon equation and associated linear equation. The space curves corresponding to the travelling wave solutions of those equations would give generalization of LAC to space curves.

We also consider the surface constructed by the family of curves obtained by the integrable deformation of such curves. A special class of surfaces corresponding to the constant similarity torsion yields quadratic surfaces (ellipsoid, one/two-sheeted hyperboloids and paraboloid) and their deformations, which may be regarded as a generalization of LAC to surface.

We discuss the construction of such curves and surfaces together with their mathematical properties, including integration scheme of the frame by symmetries, and present various examples of curves and surfaces.

Objectives:

• Familiarize participants with PhotoMath and its functionalities.
• Understand how to leverage PhotoMath for enhancing math learning and teaching.
• Explore strategies for integrating PhotoMath responsibly into educational settings.

Materials Needed:

• Smartphones or tablets with PhotoMath installed.
• Projector and screen for demonstrations.
• Internet connection.
• Handouts or guides about PhotoMath features and classroom integration.

Agenda:

1. Introduction (15 minutes)
2. Getting Started with PhotoMath (30 minutes)
3. Deep Dive into PhotoMath Features (30 minutes)
4. PhotoMath in the Classroom (25 minutes)
5. Advanced Features and Tips (10 minutes)
6. Wrap-up and Q&A (10 minutes)

Synopsis:

Objectives:

• To introduce participants to numerical solvers for systems of DDEs (e.g. Matlab’s dde23) to obtain immediate features of the solutions of DDEs.
• To demonstrate the use of numerical continuation tools for DDEs (e.g. DDE-Biftool1) in generating bifurcation diagrams in one and two parameter spaces.

Who Should Attend:

This workshop is aimed at students, faculty members and researchers interested in the topic of DDEs. Participants are expected to be familiar with ODEs and the Matlab syntax.

Synopsis:

Objectives:

Who Should Attend:

To be announced...

ASSOC. PROF. DR. FARAIMUNASHE CHIROVE

Faraimunashe Chirove is an Associate Professor of Applied Mathematics in the Department of Mathematics and Applied Mathematics at the University of Johannesburg. He is a NRF C2 rated (South Africa) scientist and, holder of a Bachelor of Science Honors in Mathematics (2003) and Master of Science in Mathematics (2005) from University of Zimbabwe and a PhD (2011) in Mathematics (Mathematical Biology) from University of Botswana.  He is currently employed as an Associate Professor at University of Johannesburg.  He is an NRF C2 rated researcher in the field of Applied mathematics and Biomathematics with a research goal: “from omics to population dynamics”, a goal which seeks to explore, analyze, and understand the prognosis of infection across the various scales of occurrence and how the occurrence of infection at one scale can affect the infection dynamics at other scales. Currently, he is largely doing most of his research at cellular level and population dynamics predicting the impact of the cellular infection on the population dynamics and vice versa on human infectious diseases. He has so far published over 34 publications in accredited journals through collaborations with researchers all over the world. His research interests have expanded into mathematical ecology, data-based modelling, agent-based modelling, applications into zoonotic diseases, stochastic modelling, multi-scale modelling, antimicrobial resistance in agricultural settings and, systems mathematical biology. He is also focusing on multi-and interdisciplinary research as to make his modelling skills manifest into realistic impact on public health and animal health policies. He has supervised and graduated 12 PhD, 14 MSc and 11 Honours students. He is currently serving as the vice president of the Southern Africa Mathematical Sciences association (SAMSA) executive committee, an association in Southern Africa that has been in existence since 1981. He previously served the same association as a committee member and executive treasurer from 2014 to 2022. He holds membership with other mathematical associations such as South Africa Mathematical society (SAMS) and SIAM. 

EXPLORING THE IMPACT OF MIGRATION AND SPATIAL HETEROGENEITY ON THE DYNAMICS OF A TICK-BORNE DISEASE

Spatial heterogeneity and migration of hosts and ticks have an impact on the spread, extinction, and persistence of tick-borne diseases. In this talk, we investigate the impact of spatial heterogeneity and between-patch migration of white-tailed deer and lone star ticks on the dynamics of a tick-borne disease using a system of Ito stochastic differential equations. Results are illustrated for a two-patch deterministic and stochastic models. The results suggest that the probability of disease extinction can be increased if deer and tick movement are controlled or prohibited especially when there is an outbreak in one or both patches. Screening of infectives in protected areas such as deer farms, private game parks or reserves, etc. before they migrate to other areas can be one of the intervention strategies for controlling and preventing disease spread in a Multipatch environment.

PROF. DR. ROSLINDA MOHD NAZAR

She is currently a Professor at the Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM). She obtained a Bachelor of Science degree (Mathematics) from the University of Illinois at Urbana-Champaign, USA and a Master of Science degree (Mathematics of Nonlinear Models) from the Heriot-Watt University & University of Edinburgh, Scotland. Further, she obtained a Doctor of Philosophy degree (Applied Mathematics) from the Universiti Teknologi Malaysia in January 2004. In February 2005 she was promoted to the position of Senior Lecturer and later to the position of Associate Professor in August 2006. She was then promoted to the post of Professor in January 2012. She is one of the recipients for the 2021 Top Research Scientists Malaysia (TRSM) in the field of Applied Mathematics. She is the first and so far, the only recipient in Mathematics since TRSM was first launched in 2012. Her research interests include studies in the fields of Fluid Dynamics, Heat Transfer and Mathematical Modelling. She is active in research and publications and to date, she has published 4 research books by UKM Publisher and more than 600 research papers in the form of journal articles, proceedings, and book chapters.

MATHEMATICAL MODELLING OF THE MELTING HEAT TRANSFER IN THIN GENERALISED NEWTONIAN HYBRID NANOFLUID FILM FLOW

The melting heat transfer is an interesting phenomenon and worth to be investigated in the thin film flow due to its importance in various industrial processes. For instance, in the industrial coating, understanding the behaviour of melting films is crucial for optimising production processes and ensuring product quality. Meanwhile, hybrid nanofluid is a specially prepared fluid that comprises the homogeneous mixture of two or more nanoparticles with new physical and chemical properties. Therefore, the present study attempts to determine the influence of the melting heat transfer in the thin generalised Newtonian hybrid nanofluid film flow. In addition, the thermocapillarity effect is also incorporated into this flow system. The Carreau and Cross fluids are the generalised Newtonian models considered in this study. These fluid models can describe the fluid flow in the power law region, very low and very high shear rate zones. The flow setup is expressed in partial differential equations and aligned with the boundary layer concept. The respective partial differential equations are transformed into a system of ordinary differential equations via an appropriate similarity transformation to ease the computation process in the MATLAB boundary value problem solver bvp4c function. The present study endeavours to form a novel thin film flow by involving the melting heat transfer effect and observes how it affects the film growing process with other external effects such as thermocapillarity and accelerating flat surface. 

PROF. DR. JUANCHO ARRANZ COLLERA

Prof. Dr. Juancho A. Collera received his Ph.D. in Mathematics from Queen’s University at Kingston, Ontario, Canada. He is currently a Professor of Mathematics at the Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio. He was one of the recipients of the 2016 Abel Visiting Scholars Grant by the IMU-CDC, and is a founding member of the Philippine Society for Mathematical Biology. His research interests include Delay Differential Equations, Dynamical Systems, and Bifurcation Theory.

TIME-DELAY SYSTEMS AND APPLICATIONS

You have probably seen time-delay systems used in models from ecology (e.g., predator-prey systems) and epidemiology (e.g., SIR models) for their appropriateness in describing certain biological or physiological processes. In this talk, we survey other fields of study that use time-delay systems. Particularly, we look at simple models from microeconomics, queueing systems, and climate science which are modeled using systems of delay differential equations (DDEs). This talk serves both as an introduction and an invitation to DDEs.

PROF. DR. ALEX R. COOK

Dr Alex Cook is a Professor in the Saw Swee Hock School of Public Health at the National University of Singapore (NUS), where he is also the Vice Dean of Research, leader of the Biostatistics and Modelling Domain and director of the Centre for Epidemic Research and Modelling. He holds joint appointments at the Duke-NUS Medical School Singapore, at the Department of Statistics and Data Science, NUS. He works on infectious disease modelling and statistics, including COVID-19, dengue, influenza and other respiratory pathogens, and on population modelling to assess the effect of evolving demographics on non-communicable diseases such as diabetes. 

USING MATHEMATICAL MODELLING TO INFORM PUBLIC HEALTH RESPONSE TO INFECTIOUS DISEASE OUTBREAKS

Mathematical modelling has played a pivotal role in shaping the public health response to infectious diseases outbreaks in recent years, particularly during the COVID-19 pandemic, but also in managing endemic diseases such as dengue fever. This talk will give case studies of how these models were used in forecasting the trajectory of COVID-19, assisting policy makers in Singapore to implement timely and effective interventions. We will discuss how mathematics informed social distancing measures, the impact of travel restrictions, and the deployment of vaccines. Additionally, we will examine quantitatively how the use of Wolbachia-infected mosquitoes has disrupted dengue transmission. By combining real-time data and computational techniques, these models offer valuable insights for forecasting outbreak dynamics and optimizing control strategies, thereby supporting public health authorities in making data-driven decisions to mitigate the impact of current and future outbreaks.