BIOMAT Database Logo BIOMAT Database Logo

A stochastic SACR epidemic model for HBV transmission. 2020

Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakhtunkhawa, Pakistan.

In this article, a stochastic SACR hepatitis B epidemic model is taken to be under consideration. We develop a stochastic epidemic model by considering the effect of environmental fluctuation on the hepatitis B dynamics and distribute the transmission rate by white noise. Using the stochastic Lyapunov function theory, we have shown the existence and uniqueness of the global positive solution. The extinction and persistence for our proposed model are derived with sufficient conditions. The numerical simulations are carried out using first-order Itô-Taylor stochastic scheme in the last section for the verification of our theoretical results.

UI MeSH Term Description Entries
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009716 Numerical Analysis, Computer-Assisted Computer-assisted study of methods for obtaining useful quantitative solutions to problems that have been expressed mathematically. Analysis, Computer-Assisted Numerical,Computer-Assisted Numerical Analysis,Analyses, Computer-Assisted Numerical,Analysis, Computer Assisted Numerical,Computer Assisted Numerical Analysis,Computer-Assisted Numerical Analyses,Numerical Analyses, Computer-Assisted,Numerical Analysis, Computer Assisted
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D006509 Hepatitis B INFLAMMATION of the LIVER in humans caused by a member of the ORTHOHEPADNAVIRUS genus, HEPATITIS B VIRUS. It is primarily transmitted by parenteral exposure, such as transfusion of contaminated blood or blood products, but can also be transmitted via sexual or intimate personal contact. Hepatitis B Virus Infection
D006515 Hepatitis B virus The type species of the genus ORTHOHEPADNAVIRUS which causes human HEPATITIS B and is also apparently a causal agent in human HEPATOCELLULAR CARCINOMA. The Dane particle is an intact hepatitis virion, named after its discoverer. Non-infectious spherical and tubular particles are also seen in the serum. Dane Particle,Hepatitis Virus, Homologous Serum,B virus, Hepatitis,Hepatitis B viruses,Particle, Dane,viruses, Hepatitis B
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D013269 Stochastic Processes Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables. Process, Stochastic,Stochastic Process,Processes, Stochastic
D058872 Epidemics Sudden outbreaks of a disease in a country or region not previously recognized in that area, or a rapid increase in the number of new cases of a previous existing endemic disease. Epidemics can also refer to outbreaks of disease in animal or plant populations.

Related Publications

Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Detecting changes in the transmission rate of a stochastic epidemic model.
May 2024, Statistics in medicine,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
A stochastic mathematical model of two different infectious epidemic under vertical transmission.
January 2022, Mathematical biosciences and engineering : MBE,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
On a general stochastic epidemic model.
February 1977, Theoretical population biology,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Dynamics of a stochastic HBV infection model with cell-to-cell transmission and immune response.
December 2020, Mathematical biosciences and engineering : MBE,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Five challenges for stochastic epidemic models involving global transmission.
March 2015, Epidemics,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
A computational stochastic procedure for solving the epidemic breathing transmission system.
September 2023, Scientific reports,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination.
January 2022, Advances in continuous and discrete models,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
A stochastic mover/stayer model for an HIV epidemic.
December 1991, Mathematical biosciences,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model.
July 2012, Physical review. E, Statistical, nonlinear, and soft matter physics,
Amir Khan, and Ghulam Hussain, and Mostafa Zahri, and Gul Zaman, and Usa Wannasingha Humphries
Fractal-fractional and stochastic analysis of norovirus transmission epidemic model with vaccination effects.
December 2021, Scientific reports,
Copied contents to your clipboard!