Dynamic epidemiological models for dengue transmission: a systematic review of structural approaches

M Andraud, N Hens, C Marais, P Beutels - PloS one, 2012 - journals.plos.org
Dengue is a vector-borne disease recognized as the major arbovirose with four
immunologically distant dengue serotypes coexisting in many endemic areas. Several …

Optimal control strategies for dengue transmission in Pakistan

FB Agusto, MA Khan - Mathematical biosciences, 2018 - Elsevier
This paper presents a deterministic model for dengue virus transmission. The model is
parameterized using data from the 2017 dengue outbreak in Pakistan. We estimated the …

Backward bifurcations in dengue transmission dynamics

SM Garba, AB Gumel, MRA Bakar - Mathematical biosciences, 2008 - Elsevier
A deterministic model for the transmission dynamics of a strain of dengue disease, which
allows transmission by exposed humans and mosquitoes, is developed and rigorously …

[HTML][HTML] Causes of backward bifurcations in some epidemiological models

AB Gumel - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
The phenomenon of backward bifurcation in disease transmission models, where a stable
endemic equilibrium co-exists with a stable disease-free equilibrium when the associated …

[HTML][HTML] Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan)

A Khan, R Zarin, G Hussain, NA Ahmad, MH Mohd… - Results in physics, 2021 - Elsevier
The dynamic of covid-19 epidemic model with a convex incidence rate is studied in this
article. First, we formulate the model without control and study all the basic properties and …

Mathematical analysis of COVID-19 via new mathematical model

S Ahmad, S Owyed, AH Abdel-Aty, EE Mahmoud… - Chaos, Solitons & …, 2021 - Elsevier
We develop a new mathematical model by including the resistive class together with
quarantine class and use it to investigate the transmission dynamics of the novel corona …

Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment

O Sharomi, CN Podder, AB Gumel… - Mathematical …, 2007 - aimsciences.org
This paper addresses the synergistic interaction between HIV and mycobacterium
tuberculosis using a deterministic model, which incorporates many of the essential …

Backward bifurcation and optimal control in transmission dynamics of West Nile virus

KW Blayneh, AB Gumel, S Lenhart… - Bulletin of mathematical …, 2010 - Springer
The paper considers a deterministic model for the transmission dynamics of West Nile virus
(WNV) in the mosquito-bird-human zoonotic cycle. The model, which incorporates density …

Modeling and control of the hepatitis B virus spreading using an epidemic model

T Khan, Z Ullah, N Ali, G Zaman - Chaos, Solitons & Fractals, 2019 - Elsevier
We describe the formulation of hepatitis B epidemic model with saturated incidence rate.
Once we formulate the epidemic problem then we discuss the basic properties (existence of …

To isolate or not to isolate: the impact of changing behavior on COVID-19 transmission

FB Agusto, IV Erovenko, A Fulk, Q Abu-Saymeh… - BMC Public Health, 2022 - Springer
Background The COVID-19 pandemic has caused more than 25 million cases and 800
thousand deaths worldwide to date. In early days of the pandemic, neither vaccines nor …