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 …

Spatiotemporal dynamics of reaction–diffusion system and its application to turing pattern formation in a gray–scott model

I Ali, MT Saleem - Mathematics, 2023 - mdpi.com
This paper deals with the effects of partial differential equations on the development of
spatiotemporal patterns in reaction–diffusion systems. These systems describe how the …

[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 …

Dynamics of stochastic Zika virus with treatment class in human population via spectral method

EA Algehyne, FU Khan, SU Khan, W Jamshed… - Symmetry, 2022 - mdpi.com
The Zika virus model (ZIKV) is mathematically modeled to create the perfect control
strategies. The main characteristics of the model without control strategies, in particular …

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 …

A new design and analysis of optimal control problems arising from COVID‐19 outbreak

AIK Butt, DBD Chamaleen, M Imran… - … Methods in the …, 2023 - Wiley Online Library
In this manuscript, we append the hospitalization, diagnosed and isolation compartments to
the classic SEIR model to design a new COVID‐19 epidemic model. We further subdivide …

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 …

Modeling the Transmission Dynamics of Avian Influenza in Cattle

F Mrope - Journal of Mathematical Analysis and Modeling, 2024 - sabapub.com
Avian Influenza (AI) poses a critical threat to cattle production worldwide, resulting in
significant yield losses and economic damages. Despite the severity of AI, comprehensive …

Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein–Uhlenbeck process

Q Liu - Journal of Mathematical Biology, 2024 - Springer
To describe the transmission dynamics of maize streak virus infection, in the paper, we first
formulate a stochastic maize streak virus infection model, in which the stochastic fluctuations …

Special functions and its application in solving two dimensional hyperbolic partial differential equation of telegraph type

I Ali, MT Saleem, A Din - Symmetry, 2023 - mdpi.com
In this article, we use the applications of special functions in the form of Chebyshev
polynomials to find the approximate solution of hyperbolic partial differential equations …