A dynamic competition analysis of stochastic fractional differential equation arising in finance via pseudospectral method

I Ali, SU Khan - Mathematics, 2023 - mdpi.com
This research focuses on the analysis of the competitive model used in the banking sector
based on the stochastic fractional differential equation. For the approximate solution, a …

Threshold of stochastic SIRS epidemic model from infectious to susceptible class with saturated incidence rate using spectral method

I Ali, SU Khan - Symmetry, 2022 - mdpi.com
Stochastic SIRS models play a key role in formulating and analyzing the transmission of
infectious diseases. These models reflect the environmental changes of the diseases and …

[PDF][PDF] Dynamics and simulations of stochastic COVID-19 epidemic model using Legendre spectral collocation method

I Ali, SU Khan - AIMS Math, 2023 - aimspress.com
The aim of this study is to investigate the dynamics of epidemic transmission of COVID-19
SEIR stochastic model with generalized saturated incidence rate. We assume that the …

Numerical simulation of a fractional stochastic delay differential equations using spectral scheme: a comprehensive stability analysis

S Li, SU Khan, MB Riaz, SA AlQahtani, AM Alamri - Scientific Reports, 2024 - nature.com
The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool
for modeling complex systems that exhibit both fractional order dynamics and stochasticity …

On dynamics of stochastic avian influenza model with asymptomatic carrier using spectral method

A Ali, SU Khan, I Ali, FU Khan - Mathematical Methods in the …, 2022 - Wiley Online Library
In ecosystem, the most critical issue is the extinction and persistence of population. For this
reason, various deterministic and stochastic models have been studied in the past decades …

Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate

I Ali, SU Khan - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we investigate numerically a stochastic delayed SIRS model with exponential
structure and saturated incidence. A Legendre collocation method which convert the given …

Asymptotic behavior of three connected stochastic delay neoclassical growth systems using spectral technique

I Ali, SU Khan - Mathematics, 2022 - mdpi.com
In this study, we consider a nonlinear system of three connected delay differential
neoclassical growth models along with stochastic effect and additive white noise, which is …

Transmission dynamic of stochastic hepatitis C model by spectral collocation method

N Gul, SU Khan, I Ali, FU Khan - Computer Methods in …, 2022 - Taylor & Francis
In this research work, we present an exciting mathematical analysis of a stochastic model,
using a standard incidence function, for infectious disease hepatitis C transmission …

Applications of Legendre spectral collocation method for solving system of time delay differential equations

SU Khan, I Ali - Advances in Mechanical Engineering, 2020 - journals.sagepub.com
The numerical techniques are regarded as the backbone of modern research. In literature,
the exact solution of time delay differential models are hardly achievable or impossible …

A novel simulation-based analysis of a stochastic HIV model with the time delay using high order spectral collocation technique

SU Khan, S Ullah, S Li, AM Mostafa, M Bilal Riaz… - Scientific Reports, 2024 - nature.com
The economic impact of Human Immunodeficiency Virus (HIV) goes beyond individual
levels and it has a significant influence on communities and nations worldwide. Studying the …