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[CT052]

CT052 (1/1) : Difference equations (39A) / Miscellaneous topics in partial differential equations (35R) / Applications of dynamical systems (37N)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @G710
Type : Contributed Talk
Abstract : Difference equations frequently appear as discrete mathematical models of various biological and environmental phenomena. In this paper, the authors study the following systems: \begin{equation*} x_{n+1} = \dfrac{x_{n-3}}{\pm 1 \pm y_n x_{n-1} y_{n-2} x_{n-3}},\ \ y_{n+1} = \dfrac{y_{n-3}}{\pm 1 \pm x_n y_{n-1} x_{n-2} y_{n-3}}, \end{equation*} which were first considered by Elsayed in 2015, and results were proven using mathematical induction. This time, the authors present the solution forms of each system using telescoping sums technique. The advantages and disadvantages of the two methods are discussed. Boundedness and convergence of solutions shall be presented.
Classification : 39A05, 39A22, 65Q10
Format : Talk at Waseda University
Author(s) :
- Jerico Bravo Bacani (University of the Philippines Baguio)
- Julius Fergy Tiongson Rabago (Kanazawa University)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @G710
Type : Contributed Talk
Abstract : In this talk, we investigate the existence and finite-time blowup solution of a reaction-diffusion system of stochastic partial differential equations (SPDEs) driven by two dimensional fractional Brownian motion. We provide sufficient conditions for the existence of a global solution. Moreover, we provide lower and upper bounds for the finite-time blowup solution of the system of SPDEs and obtain the lower and upper bounds for the probability of non-explosive solutions to our considered system
Classification : 35R60, 60H15, 74H35
Format : Online Talk on Zoom
Author(s) :
- Sankar Subramani (Periyar University, Salem, Tamilnadu.)
- Manil T Mohan (Indian Institute Of Technology, Roorkee)
- Karthikeyan Shanmugasundaram (Periyar University, Salem, Tamilnadu.)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @G710
Type : Contributed Talk
Abstract : The scientific community is yet to find an effective method to forecast and avoid earthquake hazards, due to the problem complexity. After decades of debate, the Sun has again been recently brought forth as a potential precursor to earthquakes. This study aims to investigate the existence of such relationship from a dynamical systems perspective. Having confirmed the existence, we also show that Sun data can be included in forecasting models to improve forecasting accuracy.
Classification : 37N05, 86A15, 60G55, 37Hxx
Format : Talk at Waseda University
Author(s) :
- Matheus Henrique Junqueira Saldanha (University of Tsukuba)
- Matheus Henrique Junqueira Saldanha (University of Tsukuba)
- Yoshito Hirata (Faculty of Engineering, Information and Systems, University of Tsukuba)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @G710
Type : Contributed Talk
Abstract : The classical theory of competitive exclusion does not consider the type of interaction between species. We create a new competition model in which the maximum population of a species is dependent on the availability of resources, or food supply, and competition is in the form of competition for these resources. We find this model always leads to stable coexistence and we investigate ways to bring about extinction.
Classification : 37N25, 92D25, 92-10
Format : Talk at Waseda University
Author(s) :
- Robert Garvey (University of Limerick)
- Andrew Fowler (University of Limerick)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @G710
Type : Contributed Talk
Abstract : A mathematical model that describes the effect of COVID-19 dynamics on the student population of higher learning institutions was studied. Qualitative analyses were done on the model, and numerical simulations were used to evaluate the effects of personal protective, quarantine, treatment, and management measures to mitigate the community spread of COVID-19. Finally, a cost-effectiveness analysis was used to ascertain the most-effective and least expensive strategy required for preventing and controlling the spread of the pandemic.
Classification : 37N25, 37N35, 37N40, 37D10, 34C40
Format : Online Talk on Zoom
Author(s) :
- John Olajide Akanni (Koladaisi University Ibadan, Oyo State, Nigeria)
- Afeeze Abidemi (Federal University of Technology, Akure, Ondo State, Nigeria)
- Oluwole Daniel Makinde (Faculty of Military Science, Stellenbosch University, South Africa)