activity
20152026
most citedDispersive shock waves in the Kadomtsev-Petviashvili and Two Dimensional Benjamin-Ono equations

36 citations · 54 across the 10 of their papers we have counts for

collaborators

12 papers

nlin.CD2026

Decision-Related Cognitive Signatures from Fast-Slow Dynamics: A Low-Dimensional Observation-Operator Framework

Furkan Emre Isik, Ali Demirci

Repeated decisions exhibit temporal structures such as persistence, direction-dependent switching, recurrent alternation, and abrupt transitions. We examine the generative sufficie…

math.DS2026

Near critical interior dynamics in a model of state society interaction

Kerime Nur Kavadar, Ali Demirci, Furkan Emre Isik

We study a normalized two dimensional competitive LotkaVolterra system describing the interaction between state power and society power. Restricting attention to the positively…

math.AP2021

On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics

Ali Demirci, Yasin Hasanoglu, Gulcin M. Muslu +1

In this paper, we first consider the Rosenau equation with the quadratic nonlinearity and identify its Lie symmetry algebra. We obtain reductions of the equation to ODEs, and find…

math.DS2020

Hopf bifurcation of a financial dynamical system with delay

Y. Çalış, A. Demirci, C. Özemir

The aim of this work is to investigate the qualitative behaviour of a financial dynamical system which contains a time delay. We investigate the dynamic response of this system of…

q-bio.PE2020

A New Susceptible-Infectious (SI) Model With Endemic Equilibrium

Ayse Peker-Dobie, Semra Ahmetolan, Ayse Humeyra Bilge +1

The focus of this article is on the dynamics of a new susceptible-infected model which consists of a susceptible group () and two different infectious groups ( and ).…

nlin.PS2020★ 12 cited

Nonlinear Modulation of Periodic Waves in the Cylindrical Gardner Equation

Gunay Aslanova, Semra Ahmetolan, Ali Demirci

The propagation of the dispersive shock waves (DSWs) is investigated in the cylindrical Gardner (cG) equation, which is obtained by employing a similarity reduction to the two spac…

q-bio.PE2020

What Can We Estimate from Fatality and Infectious Case Data using the Susceptible-Infected-Removed (SIR) model? A case Study of Covid-19 Pandemic

Semra Ahmetolan, Ayse Humeyra Bilge, Ali Demirci +2

The rapidly spreading Covid-19 that affected almost all countries, was first reported at the end of 2019. As a consequence of its highly infectious nature, countries all over the w…

q-bio.PE2020★ 2 cited

Unexpected parameter ranges of the 2009 A(H1N1) epidemic for Istanbul and the Netherlands

Ali Demirci, Ayse Peker Dobie, Ayse Humeyra Bilge +1

The data of the 2009 A(H1N1) epidemic in Istanbul, Turkey is unique in terms of the collected data, which include not only the hospitalization but also the fatality information rec…

q-bio.QM2019★ 3 cited

On the time shift phenomena in epidemic models

Ayse Peker Dobie, Ali Demirci, Ayse Humeyra Bilge +1

In the standard Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models, the peak of infected individuals coincides with the in ection point of re…

nlin.PS2019

Dispersive shock waves in Three Dimensional Benjamin-Ono equation

Ali Demirci

Dispersive shock waves (DSWs) in the three dimensional Benjamin- Ono (3DBO) equation is studied with step-like initial condition along a paraboloid front. By using a similarity red…

math.DS2017★ 1 cited

Nonlinear Opinion Dynamics in Systems with Leadership Effect

F. Ataş, A. Demirci, C. Özemir

Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dyn…

nlin.PS2015★ 36 cited

Dispersive shock waves in the Kadomtsev-Petviashvili and Two Dimensional Benjamin-Ono equations

Mark J. Ablowitz, Ali Demirci, Yi-Ping Ma

Dispersive shock waves (DSWs) in the Kadomtsev-Petviashvili (KP) equation and two dimensional Benjamin-Ono (2DBO) equation are considered using parabolic front initial data. Employ…