Registered Data

Contents

[CT021]

CT021 (1/1) : Stability theory for ordinary differential equations (34D) / Elementary classical functions (33B)

Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : In our study, we consider a model formulation of a dengue fever transmission including delay terms. The next-generation matrix techniques have been used for deriving the basic reproduction number for the spread of infectious disease. Nondimensionalisation has been carried out and equilibrium points have been obtained. Then stability analysis of the delay model has been investigated. Numerical simulations have been shown for the specific parameters and the effect of the time delays has been observed.
Classification : 34D20, 37G15, 92D25, 92-10, 34K20
Format : Talk at Waseda University
Author(s) :
- Burcu Gürbüz (Johannes Gutenberg-University Mainz)
- Aytül Gökçe (Ordu University)
- Segun Isaac Oke (Ohio University, USA)
- Michael O. Adeniyi (Lagos State University of Science and Technology)
- Mayowa M. Ojo (Thermo Fisher Scientific)

Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : We present two Cucker-Smale type models for the asymptotic tracking of a point cloud moving on complete, connected, and smooth Riemannian manifolds. For each model, we provide a sufficient framework in terms of a moving target point cloud, system parameters, and initial data. In the proposed framework, we show asymptotic flocking, collision avoidance, and asymptotic tracking to a given point cloud. The main result is a joint work with Hyunjin Ahn, Seung-Yeal Ha and Jaeyoung Yoon.
Classification : 34D05, 34H05, 70F10, 70G60, 92D25
Format : Talk at Waseda University
Author(s) :
- Hyunjin Ahn (Myongji University)
- Junhyeok Byeon (Seoul National University)
- Seung-Yeal Ha (Seoul National University)
- Jaeyoung Yoon (Seoul National University)

Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : Leptospirosis is a zoonotic bacterial disease that is endemic and having high incidence rate in tropical and subtropical regions especially after flooding or heavy rainfall. The objective is to investigate the asymptotic behaviour of a stochastic Leptospirosis model with saturated incidence rate in terms of basic reproduction number using Lyapunov functions. As a first step, a biologically well-posed model perturbed by multiplicative Gaussian noise will be proposed. The existence of a stationary distribution and the ergodicity of solutions of the proposed model will also be established.
Classification : 34D05, 34K50, 60H10, 60J65
Format : Talk at Waseda University
Author(s) :
- SELSHA S (Research Scholar, Govt College Chittur)

Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : In this study, we proposed a two-strain model comprising drug-sensitive and drug-resistant strains for the dynamics of Human Immunodeficiency Virus (HIV) spread in a community. A treatment compartment is included in the modelling framework by considering drug adherence. We introduced various time delays for different phase transitions of the disease to track down the effect of its chronicity. A comprehensive stability and bifurcation analysis reveal the importance of treatment availability and drug adherence.
Classification : 34D05, 34D20, 92D25, 92D30
Format : Online Talk on Zoom
Author(s) :
- Ashish Poonia (Indian Institute of Technology Guwahati)
- Siddhartha Pratim Chakrabarty (Indian Institute of Technology Guwahati)

Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : Mittag-Leffler functions are indispensable in the theory of fractional calculus and many other applications in engineering. However, their computational complexities have made them difficult to deal with numerically. A real distinct pole rational approximation of the two-parameter Mittag-Leffler function is proposed. Under some mild conditions, this approximation is proven and empirically shown to be L-Acceptable. These approximations are especially useful in developing efficient and accurate numerical schemes for partial differential equations of fractional order. Some applications are presented, such as complementary error function and solution of fractional differential equations.
Classification : 33B10, 41A20, 65L05
Author(s) :
- Olaniyi Samuel Iyiola (Clarkson University)