Plenary Speakers

Delfim F. M. Torres, University of Aveiro, Portugal

The Fractional Calculus of Variations and Its Inverse Problem

Abstract:

Given a fractional-order linear equation, we define an appropriate symmetric bilinear form so that the fractional operator is symmetric with respect to that bilinear form. Using the bilinear form, we then use the results of [01] to define a functional of the fractional calculus of variations, proving that the solutions of the given fractional-order equation are critical points of the fractional variational functional. In the case of fractional integral equations, the provided bilinear form is non-degenerate, and all critical points are solutions of the given equation. In the case of fractional differential equations, a relation with the least-squares method is obtained.

Short Bio

Delfim Fernando Marado Torres was born 16 August 1971 in Nampula, Mozambique. He is, since March 2015, a Full Professor of Mathematics at University of Aveiro (UA), Director of the R&D Unit CIDMA, the largest Portuguese research center in Mathematics, and Coordinator of its Systems and Control Group. He obtained a PhD in Mathematics from UA in 2002, and Habilitation in Mathematics, UA, in 2011. His main research area is calculus of variations and optimal control; optimization; fractional derivatives and integrals; dynamic equations on time scales; and mathematical biology. Torres has written outstanding scientific and pedagogical publications. In particular, he has co-authored two books with Imperial College Press and three books with Springer. He has strong experience in graduate and post-graduate student supervision and teaching in mathematics. Moreover, he has been team leader and member in several national and international R&D projects, including EU projects and networks. He is, since 2013, the Director of the Doctoral Programme Consortium in Mathematics and Applications (MAP-PDMA) of Universities of Minho, Aveiro, and Porto. Prof. Torres is married since 2003, and has one daughter and two sons.

Martin Bohner, Missouri University of Science and Technology, USA

The Beverton-Holt Equation

Abstract:

In this talk, we will present the Beverton-Holt equation as used in fisheries and other population models, in many different scenarios (discrete case, continuous case, time scales case, quantum case, periodic case, with and without harvesting etc.).

Short Bio

Martin Bohner is the Curators’ Distinguished Professor of Mathematics and Statistics at Missouri University of Science and Technology in Rolla, Missouri, USA. He received the BS (1989) and MS (1993) in Econo-mathematics and PhD (1995) from University Ulm, Germany, and MS (1992) in Applied Mathematics from San Diego State University. He was a Postdoc, sponsored by the Alexander von Humboldt-Foundation, at National University of Singapore (1997) and at San Diego State University (1998). Martin Bohner is a Past President of ISDE, the International Society of Difference Equations. His research interests center around differential, difference, and dynamic equations as well as their applications to economics, finance, biology, physics, and engineering. He is the author of seven textbooks and more than 350 publications, Editor-in-Chief of three international journals, and Associate Editor for almost 100 international journals. His work has been cited more than 20000 times in the literature, including more than 5000 citations of his book “Dynamic Equations on Time Scales: An Introduction with Applications”, co-authored with Professor Allan Peterson. His h-index is 66, and his i10-index is 260. Professor Bohner is the recipient of the 2021 Obada Prize. His honors at Missouri S&T include five Faculty Excellence Awards, one Faculty Research Award, and nine Teaching Awards.

Emmanuel Afolabi Bakare, Federal University Oye Ekiti, Ekiti State, Nigeria

Mathematical Modelling of the effect of some control interventions on malaria transmission in Aleiro, Kebbi State, Nigeria

Abstract:

Malaria is a deadly but preventable and treatable disease. There are many countries in Africa, Asia, South Africa that are being affected with the burden of malaria. Nigeria, being one of the 11 high burden to high impact (HBHI) countries carrying the highest burden of malaria worldwide, it accounted for 20% of malaria induced mortality globally and an increase of 1.4million malaria cases in 2023 compared to the previous year in 2023 and 2024 respectively. There are current malaria control interventions in place in Nigeria and several works carried out on the impact of control interventions against Plasmodium falciparum malaria, but not many have considered the role of the effect of the use of LLIN and ACT in reducing Plasmodium falciparum malaria in certain states in Nigeria.

We used the routine data for the confirmed uncomplicated malaria cases in Lagos, Kano and Kaduna State Nigeria from January 2015 - February 2025 to capture the pattern of the transmission dynamics of Plasmodium falciparum malaria in the population. We formulated deterministic compartmental models to capture the Plasmodium falciparum malaria transmission dynamics in these states using ordinary differential equation model and qualitative analysis of the models were performed using positivity and boundedness of solutions to ascertain epidemiologically meaningful system. The disease free equilibrium and endemic equilibrium were performed through equilibrium analysis of the model. The effective reproduction number was then calculated showing the extent of the spread of malaria in the population. We fit the model to the routine data from the states using maximum likelihood estimate with R and numerical simulation were carried out using the R software to validate our theoretical findings. Prediction scenario analysis of Plasmodium falciparum malaria was also carried out and visualized considering different coverage levels of LLIN and compliance to ACT.

Results: Our results from the scenario analysis revealed that certain percentage reduction was observed based on the NMEP target before 2021.

Short Bio

Professor Emmanuel Afolabi Bakare is a renowned scholar and mathematician who specializes in applied mathematical modeling and data analytics, particularly in the context of infectious diseases. He is the Founder and Director of the International Centre for Applied Mathematical Modelling and Data Analytics (ICAMMDA)¹.

As a Professor of Modelling and Analytics in the Department of Mathematics at the Federal University Oye-Ekiti, Professor Bakare has made significant contributions to the field of mathematical modeling of infectious diseases. His research focuses on developing mathematical models to understand the transmission dynamics of diseases such as malaria, Lassa fever, and COVID-19².

Professor Bakare has received several awards and recognition for his work, including the Swiss Government Excellence Award and the Abdus Salam International Centre for Theoretical Physics Award³. He is also a board member of the African Mathematical Modelling Network (AMMnet)⁴.

Agnieszka B. Malinowska, Bialystok University of Technology, Poland

Title

Abstract:

Rachid Ouifki, North-West University, South Africa

Oncolytic Virotherapy: A Mathematical Approach to Virus Delivery, Tumor Interactions,

and Immune Response

Abstract:

Oncolytic virotherapy is a promising cancer treatment strategy that utilizes oncolytic viruses to selectively infect and kill tumor cells, while keeping normal cells unharmed.

In this talk, I will present some mathematical models that explore the interactions between the virus, tumor, and immune system, with a focus on enhancing virus delivery mechanisms. The aim is to examine the role of immune cells and virus carriers in improving virus targeting and therapeutic outcomes. The model highlights the trade-offs between virus specificity and delivery efficiency. Additionally, I will discuss the optimization of combination therapy strategies that integrate oncolytic virotherapy with chemotherapy for improved therapeutic efficacy.

Short Bio

Prof. Rachid Ouifki is a Full Professor in the Department of Mathematics & Applied Mathematics at North-West University, South Africa. His research focuses on mathematical modeling of disease dynamics, with applications to both communicable diseases such as HIV, tuberculosis, malaria, and trypanosomiasis, and non-communicable diseases like cancer.

His work involves developing models to understand disease transmission, treatment strategies, and intervention effectiveness. He collaborates with interdisciplinary teams to ensure his research is data-driven and relevant to real-world challenges in public health. His projects include assessing the impact of climate on infectious diseases, evaluating healthcare interventions, and exploring new treatment strategies for infectious diseases and cancer.

His key research interests include:

Mathematical modeling of cancer dynamics
Disease transmission dynamics and intervention strategies of infectious diseases
Optimization of treatment and control measures

Prof. Ouifki’s research aims to provide insights that support evidence-based decision-making in healthcare and disease management.

Ahmed Youssfi, Sidi Mohamed Ben Abdellah University, Morocco

On continuous imbeddings in Musielak spaces

Abstract:

It is well known that continuous imbeddings are an essential tool in the treatment of some PDEs. We provide sufficient conditions for continuous Sobolev-type imbedding results for Musielak spaces to hold. The first result deals with a target space bigger than the considered one, while the second is that of bounded and continuous functions. Continuous imbeddings into a particular Musielak space built upon Sobolev conjugate functions generate serious difficulties and does not holds in general for arbitrary Musielak functions, as it is well known in variable exponent Sobolev spaces. We overcome this problem by imposing only a regularity assumption on the Musielak functions without resorting to other restrictions such as the ∆2/∇2 conditions. The continuous embedding into the space of bounded continuous functions is obtained through the convex envelope. Concluded results are stated in [https://doi.org/10.1016/j.jmaa.2024.128698], they extend and unify those obtained in classical Sobolev spaces, variable exponent Sobolev spaces as well as those obtained by Donaldson-Trudinger in the setting of Orlicz spaces.

Short Bio

Pr. Ahmed YOUSSFI is a Full Professor at Sidi Mohamed Ben Abdellah University-Fez, Morocco. He is currently the head of the Department of Applied Mathematics Engineering in National School of Applied Sciences. He obtained his Doctorate from Faculty of Sciences of Fez. His research interests focus on mathematical analysis of elliptic and parabolic partial differential equations (PDEs). He is interested in questions of existence, uniqueness, regularity and asymptotic behavior of solutions in functional frameworks ranging from classical Sobolev spaces to more general Musielak spaces. All in all research themes include :

Applied nonlinear analysis.
Elliptic and parabolic PDEs driven by fractional operators.
Elliptic and parabolic PDEs in Sobolev, Orlicz and Musielak spaces

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