2 citations · 3 across the 8 of their papers we have counts for
10 papers
The Dynamics of One-Dimensional Quasi-Affine Maps
Jonathan Hoseana
We study the dynamics of the one-dimensional quasi-affine map , providing a complete description of the map's periodic points, and of the…
Combating New COVID-19 Variants in Indonesia: Is Accelerating Four-Dose Vaccinations Sufficient?
Benny Yong, Jonathan Hoseana, Livia Owen
As new COVID-19 variants continue to emerge globally, we develop an SISI-type mathematical model to determine whether the transmission risks arising when such a new variant enters…
Codimension-Two Bifurcations of an SIR-Type Model for COVID-19 and Their Epidemiological Implications
Livia Owen, Jonathan Hoseana, Benny Yong
We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -- the susceptible in…
From Pandemic to a New Normal: Strategies to Optimise Governmental Interventions in Indonesia Based on an SVEIQHR-Type Mathematical Model
Benny Yong, Jonathan Hoseana, Livia Owen
There are five different forms of intervention presently realised by the Indonesian government in an effort to end the COVID-19 pandemic: vaccinations, social restrictions, tracing…
A Design of Governmental Policies for the Eradication of COVID-19 in Jakarta Using an SIR-Type Mathematical Model
Benny Yong, Jonathan Hoseana, Livia Owen
Using a discretised version of our recently-developed SIR-type mathematical model for the spread of COVID-19, we construct a design of governmental policies for the eradication of…
A Format for a Plagiarism-Proof Online Examination for Calculus and Linear Algebra Using Microsoft Excel
Jonathan Hoseana, Oriza Stepanus, Elvina Octora
As educational systems move from onsite to online due to the COVID-19 pandemic, teachers face the difficulty of designing online examination formats which minimise opportunities fo…
Mathematical Analysis of an Epidemic Model for COVID-19: How Important Is the People's Cautiousness Level for Eradication?
Benny Yong, Livia Owen, Jonathan Hoseana
We construct an SIR-type model for COVID-19, incorporating as a parameter the susceptible individuals' cautiousness level. We determine the model's basic reproduction number, study…
The Akiyama Mean-Median Map Has Unbounded Transit Time and Discontinuous Limit
Jonathan Hoseana
Open conjectures state that, for every , the orbit of the mean-median recursion $$x_{n+1}=(n+1)\cdot\mathrm{median}\left(x_1,\ldots,x_{n}…
On the Unboundedness of the Transit Time of Mean-Median Orbits
Jonathan Hoseana, Franco Vivaldi
The transit time of mean-median orbits ---the time it takes for an orbit to become stationary--- has been conjectured to be finite but unbounded over the rationals. Through a study…
Geometrical Properties of the Mean-Median Map
Jonathan Hoseana, Franco Vivaldi
We study the mean-median map as a dynamical system on the space of finite sets of piecewise-affine continuous functions with rational coefficients. We determine the structure of th…