Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission

Z Iqbal, N Ahmed, D Baleanu, W Adel, M Rafiq… - Chaos, Solitons & …, 2020 - Elsevier
In this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-
integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is …

HIV/AIDS epidemic fractional-order model

ZUA Zafar, K Rehan, M Mushtaq - Journal of Difference Equations …, 2017 - Taylor & Francis
In this paper a non-linear mathematical model with fractional order ϕ, 0< ϕ≤ 1 is presented
for analyzing and controlling the spread of HIV/AIDS. Both the disease-free equilibrium E 0 …

2SI2R rumor spreading model in homogeneous networks

J Wang, L Zhao, R Huang - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
Similarities exist between the rumor spreading and the infectious disease transmission.
Some researches on the disease spreading involve two or more diseases which are cross …

Modeling the effect of screening of unaware infectives on the spread of HIV infection

A Tripathi, R Naresh, D Sharma - Applied mathematics and computation, 2007 - Elsevier
In this paper, a non-linear mathematical model is proposed and analyzed to study the effect
of screening of unaware infectives on the spread of HIV/AIDS in a homogeneous population …

On the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata

PHT Schimit, LHA Monteiro - Ecological modelling, 2009 - Elsevier
We study the spreading of contagious diseases in a population of constant size using
susceptible-infective-recovered (SIR) models described in terms of ordinary differential …

Susceptible-infectious-susceptible (SIS) model with virus mutation in a variable population size

AP Dobie - Ecological Complexity, 2022 - Elsevier
The complex dynamics of a contagious disease in which populations experience horizontal
and vertical transmissions, size variation, and virus mutations are of considerable practical …

[HTML][HTML] Numerical investigations of stochastic HIV/AIDS infection model

ZUA Zafar, N Ali, S Younas, SF Abdelwahab… - Alexandria Engineering …, 2021 - Elsevier
In this paper, a stochastic HIV/AIDS epidemic model has been studied numerically. A
discussion among the solutions related to deterministic HIV/AIDS model and stochastic …

[PDF][PDF] Rumor propagation model: an equilibrium study.

JRC Piqueira - Mathematical Problems in Engineering, 2010 - cyberleninka.org
Compartmental epidemiological models have been developed since the 1920s and
successfully applied to study the propagation of infectious diseases. Besides, due to their …

A nonlinear HIV/AIDS model with contact tracing

R Naresh, A Tripathi, D Sharma - Applied Mathematics and Computation, 2011 - Elsevier
A nonlinear mathematical model is proposed and analyzed to study the effect of contact
tracing on reducing the spread of HIV/AIDS in a homogeneous population with constant …

A mathematical model for combating HIV/AIDS in Southern Africa: will multiple strategies work?

F Nyabadza - Journal of Biological Systems, 2006 - World Scientific
A model for the transmission of HIV is proposed with the inclusion of prevention strategies,
such as condom use, ARV drug treatment and voluntary counseling and testing. The model …