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20002026
most citedExact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates

524 citations · 2.1k across the 39 of their papers we have counts for

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gr-qc2026

Exact general relativistic solutions for a cylindrically symmetric stiff fluid matter source

Tiberiu Harko, Francisco S. N. Lobo, Man Kwong Mak

In this work, we derive the general solutions for a cylindrically symmetric space-time filled with a cosmological perfect fluid obeying (), where repres…

gr-qc2020★ 6 cited

The effects of the dark energy on the static Schrödinger-Newton system -- an Adomian Decomposition Method and Padé approximants based approach

Man Kwong Mak, Chun Sing Leung, Tiberiu Harko

The Schrödinger-Newton system is a nonlinear system obtained by coupling together the linear Schrödinger equation of quantum mechanics with the Poisson equation of Newtonian mechan…

gr-qc2020★ 2 cited

Series solution of the time-dependent Schrödinger-Newton equations in the presence of dark energy via the Adomian Decomposition Method

Tiberiu Harko, Man Kwong Mak, Matthew J. Lake

The Schrödinger-Newton model is a nonlinear system obtained by coupling the linear Schrödinger equation of canonical quantum mechanics with the Poisson equation of Newtonian mechan…

gr-qc2018★ 37 cited

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

Bogdan Danila, Tiberiu Harko, Francisco S. N. Lobo +1

We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini formalisms unifying…

gr-qc2018★ 15 cited

Computation of the general relativistic perihelion precession and of light deflection via the Laplace-Adomian Decomposition Method

Man Kwong Mak, Chun Sing Leung, Tiberiu Harko

We study the equations of motion of the massive and massless particles in the Schwarzschild geometry of general relativity by using the Laplace-Adomian Decomposition Method, which…

gr-qc2016★ 14 cited

Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background

Bogdan Dănilă, Tiberiu Harko, Man Kwong Mak +2

We perform the study of the stability of the cosmological scalar field models, by using the Jacobi stability analysis, or the Kosambi-Cartan-Chern (KCC) theory. In the KCC approach…