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[CT021]

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : In this paper, we propose a new epidemiological mathematical model for the spread of the COVID-19 disease with a special focus on the transmissibility of individuals with severe symptoms, mild symptoms, and asymptomatic symptoms. We compute the basic reproduction number and we study the local stability of the disease-free equilibrium in terms of the basic reproduction number. Numerical simulations were employed to illustrate our results. Furthermore, we study the present model in case we took into consideration the vaccination of a portion of susceptible individuals to predict the impact of the vaccination program
Classification : 34D05, 92D30
Author(s) :
- Mohamed AMOUCH (Chouaib doukkali, University)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
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
Author(s) :
- SELSHA S (Research Scholar, Govt College Chittur)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
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
Author(s) :
- Ashish Poonia (Indian Institute of Technology Guwahati)
- Siddhartha Pratim Chakrabarty (Indian Institute of Technology Guwahati)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
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
Author(s) :
- Hyunjin Ahn (Myongji University)
- Junhyeok Byeon (Seoul National University)
- Seung-Yeal Ha (Seoul National University)
- Jaeyoung Yoon (Seoul National University)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
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
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)