The nonstandard finite difference (NSFD) method is an elegant approach in that it
overcomes the numerical instability and bias exhibited by standard finite difference methods …

This study employing a non-standard computational method for a stochastic anthrax
epidemic model can enhance accuracy, evaluate control measures, and identify critical …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

Dual infection with a virus that targets the immune system, such as HTLV-1 (human T-cell
lymphotropic virus class 1), combined with another virus that affects the respiratory system …

Infection with human immunodeficiency virus type 1 (HIV-1) or human T-lymphotropic virus
type I (HTLV-I) or both can lead to mortality. CD4+ T cells are the target for both HTLV-I and …

In this manuscript, we formulate a malaria model with nonlinear incidence and recovery
rates to study the impact of the health system's available resources on disease spread and …

This article formulates and analyzes a discrete-time Human immunodeficiency virus type 1
(HIV-1) and human T-lymphotropic virus type I (HTLV-I) coinfection model with latent …

In this work, we introduce a simple method for investigating the asymptotic stability of
discrete dynamical systems, which can be considered as an extension of the classical …

Abstract Coronavirus disease 2019 (COVID-19), which is caused by the virus known as
severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), is a respiratory disease. In …

The work constituting this thesis is a contribution to the mathematical modeling and analysis
of certain models applied in biology and medicine. We are interested in studying the …