Registered Data

Contents

1 [CT020]

[CT020]

Session Time & Room

CT020 (1/1) : 5C @G401 [Chair: Valery A. Gaiko]

Classification

CT020 (1/1) : Qualitative theory for ordinary differential equations (34C) / Asymptotic theory for ordinary differential equations (34E)

[00177] Bifurcations of Limit Cycles and Multistability in Polynomial Dynamical Systems

Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
Type : Contributed Talk
Abstract : We study global limit cycle bifurcations and multistability in 2D polynomial dynamical systems, namely, in: the general Liénard polynomial system, the Euler-Lagrange-Liénard mechanical system, Leslie-Gower ecological or biomedical systems, and a reduced quartic Topp system which models the dynamics of diabetes. We study also 3D polynomial dynamical systems and, in particular, complete the strange attractor bifurcation scenarios in Lorenz type systems connecting globally the homoclinic, period-doubling, Andronov-Shilnikov, and period-halving bifurcations of limit cycles.
Classification : 34C05, 34C07, 34C23, 37G10, 37G15
Format : Talk at Waseda University
Author(s) :
- Valery A. Gaiko (United Institute of Informatics Problems, National Academy of Sciences of Belarus)

[00492] Asymptotic convergence of heterogeneous first-order aggregation models: from the sphere to the unitary group

Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
Type : Contributed Talk
Abstract : We provide the detailed asymptotic behavior for first-order aggregation models of heterogeneous oscillators. Due to the dissimilarity of natural frequencies, one could expect that all relative distances converge to definite positive value and furthermore that each oscillator converges to a possibly different stationary point. In order to establish the desired results, we introduce a novel method, called dimension reduction method that can be applied to a specific situation when the degree of freedom of the natural frequency is one. In this way, we would say that although a small perturbation is allowed, convergence toward an equilibrium of the gradient flow is still guaranteed. Several first-order aggregation models are provided as concrete examples by using the dimension reduction method to study the structure of the equilibrium, and numerical simulations are conducted to support theoretical results.
Classification : 34C15, 34D06, 34C40
Format : Talk at Waseda University
Author(s) :
- Dohyun Kim (Sungkyunkwan University)
- Dohyun Kim (Sungshin Women's University)

[02588] Synchronization in a model system of two bubbles

Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
Type : Contributed Talk
Abstract : We develop a model system of ODEs describing motions of bubbles interacting through the emission of sound waves of finite speed. In particular of the case of two bubbles, they fall into a state of synchronization, where the limit phase difference is 0 or $\pi$ depending on the distance of the bubbles. We elucidate the mechanism by the analysis of the phase coupling function, and from the physical viewpoint.
Classification : 34E13, 35Q31, 76N30
Format : Talk at Waseda University
Author(s) :
- Masashi Ohnawa (Tokyo University of Marine Science and Technology)

[02043] Almost Automorphic Solution of a Leslie-Gower Prey-Predator Model on Time Scales

Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
Type : Contributed Talk
Abstract : A general non-autonomous Leslie-Gower prey-predator model on time scales with control input terms is examined. The significant property permanence is established along with the existence of almost automorphic solution of the model system. By constructing a suitable Lyapunov functional, presence of a one of a kind all-around attractive positive almost automorphic solution of the system is obtained. Two numerical examples are given to demonstrate the effectiveness of our hypothetical outcomes with simulations.
Classification : 34C27, 34C60, 34C25
Format : Online Talk on Zoom
Author(s) :
- Soniya NA (Rajiv Gandhi Institute of Petroleum Technology Jais India)

[00130] THE DYNAMICS OF THE MONKEYPOX VIRUS IN THE PRESENCE OF ENVIRONMENTAL TRANSMISSION

Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
Type : Contributed Talk
Abstract : A deterministic model for the environmental transmission dynamics of monkeypox with the presence of quarantine and vaccination is presented. The analysis of the model presented three important equilibrium states namely; monkeypox-free equilibrium (MPXV-FE), infected rodent-free endemic equilibrium (IRF-EE) and coexistence equilibrium (CO-EE). The local and global stability of the equilibrium states is established in terms of the basic reproduction number, $\mathcal{R}_0.$ For global stability, the Comparison theory is used for MPXV-FE while the Voltera-Lyapunov matrix theory is used for both IRF-EE and CO-EE. Sensitivity analysis is performed using the Latin Hypercube sampling method with the results showing that environmental transmission parameters are the main driver of infection in the dynamics of monkeypox infection. This is further supported by numerical simulations to show the impact of environmental transmission on monkeypox infection and also the validity of the theoretical analysis presented. Based on the results, it is recommended that health practitioners and policy-makers should constitute control strategies that will focus on reducing environmental transmission and shedding of the virus in the environment while increasing the environmental decay rate of the monkeypox virus. This will complement the quarantine and vaccination strategies in place. 34C60, 92B05, 34D23, 34D20
Classification : 34CXX, 34DXX
Format : Online Talk on Zoom
Author(s) :
- Chinwendu Emilian MADUBUEZE (Federal university of Agriculture Makurdi Nigeria )