Dynamic epidemiological models for dengue transmission: a systematic review of structural approaches
Dengue is a vector-borne disease recognized as the major arbovirose with four
immunologically distant dengue serotypes coexisting in many endemic areas. Several …
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 …
parameterized using data from the 2017 dengue outbreak in Pakistan. We estimated the …
Backward bifurcations in dengue transmission dynamics
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 …
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 …
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)
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 …
article. First, we formulate the model without control and study all the basic properties and …
Mathematical analysis of COVID-19 via new mathematical model
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 …
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
This paper addresses the synergistic interaction between HIV and mycobacterium
tuberculosis using a deterministic model, which incorporates many of the essential …
tuberculosis using a deterministic model, which incorporates many of the essential …
Backward bifurcation and optimal control in transmission dynamics of West Nile virus
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 …
(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
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 …
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 …
thousand deaths worldwide to date. In early days of the pandemic, neither vaccines nor …