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 …

Reversible chemical reactions model with fractional difference operator: Dynamical analysis and synchronization

D Vignesh, S Banerjee - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Chemical reactions form the basis of life and understanding the different patterns and
unpredictable changes in the reactions are noteworthy in real life situations. The article aims …

Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats

ZUA Zafar, N Ali, D Baleanu - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper an arbitrary order model for Toxoplasmosis ailment in the humanoid and feline
is verbalized and explored. The dynamics of this ailment is discovered using an …

A reliable numerical analysis for stochastic dengue epidemic model with incubation period of virus

A Raza, MS Arif, M Rafiq - Advances in Difference Equations, 2019 - Springer
This article represents a numerical analysis for a stochastic dengue epidemic model with
incubation period of virus. We discuss the comparison of solutions between the stochastic …

RETRACTED ARTICLE: Fractional-order scheme for bovine babesiosis disease and tick populations

ZUA Zafar, K Rehan, M Mushtaq - Advances in Difference Equations, 2017 - Springer
This article shows epidemic model, earlier suggested in ordinary differential equation
philosophy, can be extended to fractional order on a reliable agenda of biological …

[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 …

Competitive numerical analysis for stochastic HIV/AIDS epidemic model in a two‐sex population

A Raza, M Rafiq, D Baleanu, M Shoaib Arif… - IET Systems …, 2019 - Wiley Online Library
This study is an attempt to explain a reliable numerical analysis of a stochastic HIV/AIDS
model in a two‐sex population considering counselling and antiretroviral therapy (ART). The …

Stochastic suicide substrate reaction model

ZUA Zafar, M Inc, F Tchier, L Akinyemi - Physica A: Statistical Mechanics …, 2023 - Elsevier
Nowadays, numeric paradigms have great significance in every field especially for solving
the NDEs, PDEs, biochemical reactions etc. Here, we represent a realistic suicide substrate …

[HTML][HTML] Fractional order heroin epidemic dynamics

ZUA Zafar, H Rezazadeh, M Inc, KS Nisar… - Alexandria Engineering …, 2021 - Elsevier
Using illicit drugs has been on growth in all over the world especially in the USA, Europe
and Asia. It is very harmful to society; it is the fourth foremost cause of death in the United …