The stochastic bifurcation analysis and stochastic delayed optimal control for epidemic model with general incidence function

A Din - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
In the history of the world, contagious diseases have been proved to pose serious threats to
humanity that needs uttermost research in the field and its prompt implementations. With this …

A cyclic behavioral modeling aspect to understand the effects of vaccination and treatment on epidemic transmission dynamics

A Zobayer, MS Ullah, KM Ariful Kabir - Scientific Reports, 2023 - nature.com
Evolutionary epidemiological models have played an active part in analyzing various
contagious diseases and intervention policies in the biological sciences. The design in this …

Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks

G Guan, Z Guo - Applied Mathematical Modelling, 2022 - Elsevier
In this paper, to characterize the limited availability of medical resources, we incorporate a
saturated treatment rate into a network-based susceptible-infected-susceptible (SIS) …

Stability behavior of a nonlinear mathematical epidemic transmission model with time delay

K Goel, Nilam - Nonlinear Dynamics, 2019 - Springer
In this article, we study a time-delayed susceptible–infected–recovered mathematical model
along with nonlinear incidence rate and Holling functional type II treatment rate for epidemic …

Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates

X Yu, M Liu, Z Zheng, D Hu - International Journal of …, 2023 - World Scientific
In this paper, a discrete-time SIR epidemic model with nonlinear incidence and recovery
rates is obtained by using the forward Euler's method. The existence and stability of fixed …

[HTML][HTML] Optimal control strategies to combat COVID-19 transmission: A mathematical model with incubation time delay

HP Singh, SK Bhatia, Y Bahri, R Jain - Results in Control and Optimization, 2022 - Elsevier
The coronavirus disease 2019, started spreading around December 2019, still persists in
the population all across the globe. Though different countries have been able to cope with …

A nonlinear SAIR epidemic model: Effect of awareness class, nonlinear incidences, saturated treatment and time delay

K Goel, Nilam - Ricerche di Matematica, 2024 - Springer
Awareness plays a vital role in informing and educating people about infection risk during
an outbreak and hence helps to reduce the epidemic's health burden by lowering the peak …

A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment

K Goel, A Kumar, Nilam - Journal of Engineering Mathematics, 2020 - Springer
A novel nonlinear delayed susceptible–vaccinated–infected–recovered–susceptible
(SVIRS) epidemic model with a Holling type II incidence rate for fully susceptible and …

Enhancing vaccination strategies for epidemic control through effective lockdown measures

A Chakraborty, KMA Kabir - Heliyon, 2024 - cell.com
Evolutionary epidemiology models have substantially impacted the study of various
infections and prevention methods in the biology field. These models are called Susceptible …

A study on the stability behavior of an epidemic model with ratio-dependent incidence and saturated treatment

A Kumar, M Kumar, Nilam - Theory in Biosciences, 2020 - Springer
In the present article, the dynamics of a novel combination of ratio-dependent incidence rate
and saturated treatment rate in susceptible-infected-recovered disease compartmental …