A systematic review of mathematical models of dengue transmission and vector control: 2010–2020

ST Ogunlade, MT Meehan, AI Adekunle, ES McBryde - Viruses, 2023 - mdpi.com
Vector control methods are considered effective in averting dengue transmission. However,
several factors may modify their impact. Of these controls, chemical methods, in the long run …

Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity

NH Alshamrani - Advances in Difference Equations, 2021 - Springer
In the literature, several mathematical models have been formulated and developed to
describe the within-host dynamics of either human immunodeficiency virus (HIV) or human T …

Stability preserving NSFD scheme for a general virus dynamics model with antibody and cell-mediated responses

AM Elaiw, MA Alshaikh - Chaos, Solitons & Fractals, 2020 - Elsevier
Nonstandard finite difference (NSFD) is one of the efficient computational methods that has
been used to discretize various viral infection models. In this paper we present a NSFD …

Modeling the impact of awareness programs on the transmission dynamics of dengue and optimal control

J Li, H Wan, M Sun - International Journal of Biomathematics, 2023 - World Scientific
In this work, we first propose a mathematical model to study the impact of awareness
programs on dengue transmission. The basic reproduction number ℛ 0 is derived. The …

Global dynamics of secondary DENV infection with diffusion

AM Elaiw, AS Alofi - Journal of Mathematics, 2021 - Wiley Online Library
During the past eras, many mathematicians have paid their attentions to model the dynamics
of dengue virus (DENV) infection but without taking into account the mobility of the cells and …

[HTML][HTML] Stability of a secondary dengue viral infection model with multi-target cells

MA Alshaikh, EK Elnahary, AM Elaiw - Alexandria Engineering Journal, 2022 - Elsevier
Dengue is one of the vector-borne diseases spread in most parts of the world. The number
of infected individuals is increased each year. This paper proposes a mathematical model …

Global stability of secondary DENV infection models with non-specific and strain-specific CTLs

AA Raezah, AM Elaiw, MA Alshaikh - Heliyon, 2024 - cell.com
Dengue virus (DENV) is a highly perilous virus that is transmitted to humans through
mosquito bites and causes dengue fever. Consequently, extensive efforts are being made to …

Three-dimensional spread analysis of a Dengue disease model with numerical season control

F Gazori, M Hesaaraki - International Journal of Biomathematics, 2021 - World Scientific
Dengue is among the most important infectious diseases in the world. The main contribution
of our paper is to present a mixed system of partial and ordinary differential equations. This …

Stability of a discrete-time general delayed viral model with antibody and cell-mediated immune responses

AM Elaiw, MA Alshaikh - Advances in Difference Equations, 2020 - Springer
We propose a discrete-time viral model with antibody and cell-mediated immune responses.
Two types of infected cells are incorporated into the model, namely latently infected and …

Dynamical behavior of a stochastic dengue model with Ornstein–Uhlenbeck process

Q Liu - Journal of Mathematical Physics, 2023 - pubs.aip.org
We develop and study a stochastic dengue model with Ornstein–Uhlenbeck process, in
which we assume that the transmission coefficients between vector and human satisfy the …